AHSAN

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1 years, 196 days

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Can anyone help me to find the correct solution up to 5 decimal points and how to implement the newton method on the same expression rather than applying fsolve command.pls find mt attachment.
 

restart

A := -5.032477447*10^(-28)*(-(1/4)*(25*(530.0*lambda+177.7750000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6+(15*(443.3333333*lambda+156.1916667))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(12789.75000+62100.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)+(-12572.66875-60942.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(10265.27500+25610.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-41326.63125-233677.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+7.137546188*10^26*(530.0*lambda-858.7250000)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6-1.713011085*10^27*(443.3333333*lambda-725.3083333)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+1.142007390*10^26*(-41261.20625-13307.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+1.142007390*10^26*(36986.22500-16610.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+1.142007390*10^26*(-110668.7437-111922.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.142007390*10^26*(37205.25000+20700.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)+(-(1/4)*(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8+(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7+(1/4)*(15*(876.6666667*lambda-1551.891667))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6-(5*(1310.0*lambda-2537.975000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-52156.91875-11742.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(56847.77500-24190.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-166742.1312-59477.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(67964.75000-57500.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-167158.4438-52.50000*lambda)*exp(20.00000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+100.0000000)+((1/4)*(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8-(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7-(1/4)*(15*(876.6666667*lambda+434.6083333))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6+(5*(1310.0*lambda+883.5250000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-25071.70625-58007.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(33060.72500+15190.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-105784.9938-170922.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(48240.25000-25300.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-122566.1813-83197.50000*lambda)*exp(20.00000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+40.00000000)+(-(1/4)*(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8+(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7-(1/4)*(15*(-856.6666667*lambda+2435.941667))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6+(5*(-1290.0*lambda+3683.025000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-88661.23125+54982.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(67794.77500-15790.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-257173.4437+170197.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(68632.50000+19800.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-230977.6313+102622.5000*lambda)*exp(5.000000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.141301418*10^17*lambda^9-9.737052860*10^16*lambda^8+3.682582968*10^16*lambda^7-8.102838405*10^15*lambda^6+1.142983789*10^15*lambda^5-1.071802621*10^14*lambda^4+6.680654660*10^12*lambda^3-2.668788927*10^11*lambda^2+6.199499765*10^9*lambda-6.379670430*10^7)+((1/4)*(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8-(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7+(1/4)*(15*(-856.6666667*lambda-1407.558333))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6-(5*(-1290.0*lambda-2135.475000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-65071.14375+14767.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(44343.72500+24790.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-203674.9312+76402.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(47557.50000+59400.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-190158.2437+25627.50000*lambda)*exp(5.000000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.141301418*10^17*lambda^9-9.737052860*10^16*lambda^8+3.682582968*10^16*lambda^7-8.102838405*10^15*lambda^6+1.142983789*10^15*lambda^5-1.071802621*10^14*lambda^4+6.680654660*10^12*lambda^3-2.668788927*10^11*lambda^2+6.199499765*10^9*lambda-6.379676430*10^7)-7.137546188*10^26*(-20*lambda+29.45)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8+2.855018475*10^27*(-20*lambda+29.45)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7+(-(1/4)*(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8+(25*(-20*lambda+29.45))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7-(1/4)*(25*(-510.0*lambda+1533.975000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6+(15*(-423.3333333*lambda+1348.358333))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-98411.89375+56567.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(85366.22500-23410.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-301081.9312+207202.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(94907.50000-55000.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-281127.6187+253177.5000*lambda)*exp(25.00000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.141301418*10^17*lambda^9-9.737052860*10^16*lambda^8+3.682582968*10^16*lambda^7-8.102838405*10^15*lambda^6+1.142983789*10^15*lambda^5-1.071802621*10^14*lambda^4+6.680654660*10^12*lambda^3-2.668788927*10^11*lambda^2+6.199499765*10^9*lambda-6.379666430*10^7)+(1/4)*(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8-(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7+((1/4)*(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^8-(25*(-20*lambda-3.55))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^7+(1/4)*(25*(-510.0*lambda-927.5250000))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^6-(15*(-423.3333333*lambda-850.1416667))*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^5+(-76318.23125+17682.50000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^4+(64635.27500+14410.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^3+(-254822.1938+122197.5000*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+(78102.50000-24200.00*lambda)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)-249171.5063+194572.5000*lambda)*exp(25.00000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.141301418*10^17*lambda^9-9.737052860*10^16*lambda^8+3.682582968*10^16*lambda^7-8.102838405*10^15*lambda^6+1.142983789*10^15*lambda^5-1.071802621*10^14*lambda^4+6.680654660*10^12*lambda^3-2.668788927*10^11*lambda^2+6.199499765*10^9*lambda-6.379672430*10^7)-2.212610768*10^31*lambda-1.114528480*10^31)*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379681930*10^6)/(((5*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+9.5)*exp(20.00000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+40.00000000)+5*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+10.5)*((-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+2.282602836*10^16*lambda^9-1.947410572*10^16*lambda^8+7.365165936*10^15*lambda^7-1.620567681*10^15*lambda^6+2.285967578*10^14*lambda^5-2.143605242*10^13*lambda^4+1.336130932*10^12*lambda^3-5.337577854*10^10*lambda^2+1.239899953*10^9*lambda-1.275935286*10^7)*((-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+2)*((5*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2*(1/4)+2.853253545*10^16*lambda^9-2.434263216*10^16*lambda^8+9.206457420*10^15*lambda^7-2.025709601*10^15*lambda^6+2.857459472*10^14*lambda^5-2.679506552*10^13*lambda^4+1.670163666*10^12*lambda^3-6.671972318*10^10*lambda^2+1.549874942*10^9*lambda-1.594919157*10^7)*exp(5.000000000*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2+1.141301418*10^17*lambda^9-9.737052860*10^16*lambda^8+3.682582968*10^16*lambda^7-8.102838405*10^15*lambda^6+1.142983789*10^15*lambda^5-1.071802621*10^14*lambda^4+6.680654660*10^12*lambda^3-2.668788927*10^11*lambda^2+6.199499765*10^9*lambda-6.379676430*10^7)+5*(-1.141301418*10^16*lambda^9+9.737052862*10^15*lambda^8-3.682582968*10^15*lambda^7+8.102838405*10^14*lambda^6-1.142983789*10^14*lambda^5+1.071802621*10^13*lambda^4-6.680654662*10^11*lambda^3+2.668788927*10^10*lambda^2-6.199499766*10^8*lambda+6.379680930*10^6)^2*(1/4)+2.853253545*10^16*lambda^9-2.434263216*10^16*lambda^8+9.206457420*10^15*lambda^7-2.025709601*10^15*lambda^6+2.857459472*10^14*lambda^5-2.679506552*10^13*lambda^4+1.670163666*10^12*lambda^3-6.671972318*10^10*lambda^2+1.549874942*10^9*lambda-1.594919057*10^7))

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.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+(68632.50000+19800.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)-230977.6313+102622.5000*lambda)*exp(5.000000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.1141301418e18*lambda^9-0.9737052860e17*lambda^8+0.3682582968e17*lambda^7-0.8102838405e16*lambda^6+0.1142983789e16*lambda^5-0.1071802621e15*lambda^4+0.6680654660e13*lambda^3-0.2668788927e12*lambda^2+6199499765.*lambda-63796704.30)+((25/4)*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^8-25*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^7+(15/4)*(-856.6666667*lambda-1407.558333)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^6-5*(-1290.0*lambda-2135.475000)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^5+(-65071.14375+14767.50000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^4+(44343.72500+24790.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^3+(-203674.9312+76402.50000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+(47557.50000+59400.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)-190158.2437+25627.50000*lambda)*exp(5.000000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.1141301418e18*lambda^9-0.9737052860e17*lambda^8+0.3682582968e17*lambda^7-0.8102838405e16*lambda^6+0.1142983789e16*lambda^5-0.1071802621e15*lambda^4+0.6680654660e13*lambda^3-0.2668788927e12*lambda^2+6199499765.*lambda-63796764.30)-0.7137546188e27*(-20*lambda+29.45)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^8+0.2855018475e28*(-20*lambda+29.45)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^7+(-(25/4)*(-20*lambda+29.45)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^8+25*(-20*lambda+29.45)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^7-(25/4)*(-510.0*lambda+1533.975000)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^6+15*(-423.3333333*lambda+1348.358333)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^5+(-98411.89375+56567.50000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^4+(85366.22500-23410.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^3+(-301081.9312+207202.5000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+(94907.50000-55000.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)-281127.6187+253177.5000*lambda)*exp(25.00000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.1141301418e18*lambda^9-0.9737052860e17*lambda^8+0.3682582968e17*lambda^7-0.8102838405e16*lambda^6+0.1142983789e16*lambda^5-0.1071802621e15*lambda^4+0.6680654660e13*lambda^3-0.2668788927e12*lambda^2+6199499765.*lambda-63796664.30)+(25/4)*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^8-25*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^7+((25/4)*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^8-25*(-20*lambda-3.55)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^7+(25/4)*(-510.0*lambda-927.5250000)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^6-15*(-423.3333333*lambda-850.1416667)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^5+(-76318.23125+17682.50000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^4+(64635.27500+14410.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^3+(-254822.1938+122197.5000*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+(78102.50000-24200.00*lambda)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)-249171.5063+194572.5000*lambda)*exp(25.00000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.1141301418e18*lambda^9-0.9737052860e17*lambda^8+0.3682582968e17*lambda^7-0.8102838405e16*lambda^6+0.1142983789e16*lambda^5-0.1071802621e15*lambda^4+0.6680654660e13*lambda^3-0.2668788927e12*lambda^2+6199499765.*lambda-63796724.30)-0.2212610768e32*lambda-0.1114528480e32)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379681.930)/(((5*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+9.5)*exp(20.00000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+40.00000000)+5*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+10.5)*((-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.2282602836e17*lambda^9-0.1947410572e17*lambda^8+0.7365165936e16*lambda^7-0.1620567681e16*lambda^6+0.2285967578e15*lambda^5-0.2143605242e14*lambda^4+0.1336130932e13*lambda^3-0.5337577854e11*lambda^2+1239899953.*lambda-12759352.86)*((-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+2)*(((5/4)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.2853253545e17*lambda^9-0.2434263216e17*lambda^8+0.9206457420e16*lambda^7-0.2025709601e16*lambda^6+0.2857459472e15*lambda^5-0.2679506552e14*lambda^4+0.1670163666e13*lambda^3-0.6671972318e11*lambda^2+1549874942.*lambda-15949191.57)*exp(5.000000000*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.1141301418e18*lambda^9-0.9737052860e17*lambda^8+0.3682582968e17*lambda^7-0.8102838405e16*lambda^6+0.1142983789e16*lambda^5-0.1071802621e15*lambda^4+0.6680654660e13*lambda^3-0.2668788927e12*lambda^2+6199499765.*lambda-63796764.30)+(5/4)*(-0.1141301418e17*lambda^9+0.9737052862e16*lambda^8-0.3682582968e16*lambda^7+0.8102838405e15*lambda^6-0.1142983789e15*lambda^5+0.1071802621e14*lambda^4-0.6680654662e12*lambda^3+0.2668788927e11*lambda^2-619949976.6*lambda+6379680.930)^2+0.2853253545e17*lambda^9-0.2434263216e17*lambda^8+0.9206457420e16*lambda^7-0.2025709601e16*lambda^6+0.2857459472e15*lambda^5-0.2679506552e14*lambda^4+0.1670163666e13*lambda^3-0.6671972318e11*lambda^2+1549874942.*lambda-15949190.57))

(1)

sols := fsolve(A, lambda = -.1 .. 1, maxsols = 4)

0.7016568203e-1, 0.7350618818e-1, .1121166384, -.1, -0.7138204362e-1, -0.7072932196e-1, -0.7072074821e-1

(2)

evalf(eval(A, lambda = -0.707231e-1))

Float(undefined)

(3)

``


 

Download help_solution.mw

I have an implicit relation in lambda and x, so I am unable to find the value of x in terms of lambda so I generate a set of data points for different values of  x=0,0.1...0.9 and obtained the value of lambda. so my question is how to write a polynomial in terms of lambda for generated data by using curve fitting and how do I checked that the obtained polynomial is correct? pls have look at my maple sheet
 

restart

``

lambda1 := -(3*(-6.003*(1+(1/2)*x^2)^3+15.400672*(1+(1/2)*x^2)^2-8.745236204-7.393580208*x^2))/(20*(1+(1/2)*x^2)^4)

-(3/20)*(-6.003*(1+(1/2)*x^2)^3+15.400672*(1+(1/2)*x^2)^2-8.745236204-7.393580208*x^2)/(1+(1/2)*x^2)^4

(1)

lambda := x -> -1/20*(3*(-1)*6.003*(1 + 1/2*x^2)^3 + 3*15.400672*(1 + 1/2*x^2)^2 + 3*(-8.745236204) + 3*(-1)*7.393580208*x^2)/(1 + 1/2*x^2)^4

proc (x) options operator, arrow; -(1/20)*((-3)*6.003*((1+(1/2)*x^2)^3)+3*15.400672*((1+(1/2)*x^2)^2)+(-3)*8.745236204+(-3)*7.393580208*(x^2))/(1+(1/2)*x^2)^4 end proc

(2)

``

data := [[-0.9786536940e-1, 0], [-0.9445602756e-1, .1], [-0.8473253146e-1, .2], [-0.7004169606e-1, .3], [-0.5215959008e-1, .4], [-0.3283205398e-1, .5], [-0.1345044656e-1, .6], [0.5065808031e-2, .7], [0.2221891323e-1, .8], [0.3780341349e-1, .9], [0.5177568628e-1, 1.0]]

[[-0.9786536940e-1, 0], [-0.9445602756e-1, .1], [-0.8473253146e-1, .2], [-0.7004169606e-1, .3], [-0.5215959008e-1, .4], [-0.3283205398e-1, .5], [-0.1345044656e-1, .6], [0.5065808031e-2, .7], [0.2221891323e-1, .8], [0.3780341349e-1, .9], [0.5177568628e-1, 1.0]]

(3)

``


 

Download Help_polynomial.mw

Hi everyone, I am trying to dsolve a ode but could not get the answer, could anyone please help me or guide me what's wrong with my worksheet


 

restart

u := -3*beta*(2*p^3*sigma^4*(1/3)+(2*p^3*y^2*(1/3)-4*q*(1/3))*sigma^2-4*p^2*y*(k+1)*sigma*(1/3)+p*(k+1)^2)*(y+sigma)*(y-sigma)/(8*sigma^2)+(-p*sigma^3+(p*y^2-k+1)*sigma-(k+1)*y)/(2*sigma)

-(3/8)*beta*((2/3)*p^3*sigma^4+((2/3)*p^3*y^2-(4/3)*q)*sigma^2-(4/3)*p^2*y*(k+1)*sigma+p*(k+1)^2)*(y+sigma)*(y-sigma)/sigma^2+(1/2)*(-p*sigma^3+(p*y^2-k+1)*sigma-(k+1)*y)/sigma

(1)

ode := diff(theta(y), y, y)+G*(diff(u(y), y))^2+G*beta*(diff(u(y), y))^4

diff(diff(theta(y), y), y)+G*(-(3/8)*(diff(beta(y), y))*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*(2*p(y)^2*sigma(y)^4*(diff(p(y), y))+(8/3)*p(y)^3*sigma(y)^3*(diff(sigma(y), y))+(2*p(y)^2*y(y)^2*(diff(p(y), y))+(4/3)*p(y)^3*y(y)*(diff(y(y), y))-(4/3)*(diff(q(y), y)))*sigma(y)^2+2*((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)*(diff(sigma(y), y))-(8/3)*p(y)*y(y)*(k(y)+1)*sigma(y)*(diff(p(y), y))-(4/3)*p(y)^2*(diff(y(y), y))*(k(y)+1)*sigma(y)-(4/3)*p(y)^2*y(y)*(diff(k(y), y))*sigma(y)-(4/3)*p(y)^2*y(y)*(k(y)+1)*(diff(sigma(y), y))+(diff(p(y), y))*(k(y)+1)^2+2*p(y)*(k(y)+1)*(diff(k(y), y)))*(y(y)+sigma(y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(diff(y(y), y)+diff(sigma(y), y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(diff(y(y), y)-(diff(sigma(y), y)))/sigma(y)^2+(3/4)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(y(y)-sigma(y))*(diff(sigma(y), y))/sigma(y)^3+(1/2)*(-(diff(p(y), y))*sigma(y)^3-3*p(y)*sigma(y)^2*(diff(sigma(y), y))+((diff(p(y), y))*y(y)^2+2*p(y)*y(y)*(diff(y(y), y))-(diff(k(y), y)))*sigma(y)+(p(y)*y(y)^2-k(y)+1)*(diff(sigma(y), y))-(diff(k(y), y))*y(y)-(k(y)+1)*(diff(y(y), y)))/sigma(y)-(1/2)*(-p(y)*sigma(y)^3+(p(y)*y(y)^2-k(y)+1)*sigma(y)-(k(y)+1)*y(y))*(diff(sigma(y), y))/sigma(y)^2)^2+G*beta*(-(3/8)*(diff(beta(y), y))*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*(2*p(y)^2*sigma(y)^4*(diff(p(y), y))+(8/3)*p(y)^3*sigma(y)^3*(diff(sigma(y), y))+(2*p(y)^2*y(y)^2*(diff(p(y), y))+(4/3)*p(y)^3*y(y)*(diff(y(y), y))-(4/3)*(diff(q(y), y)))*sigma(y)^2+2*((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)*(diff(sigma(y), y))-(8/3)*p(y)*y(y)*(k(y)+1)*sigma(y)*(diff(p(y), y))-(4/3)*p(y)^2*(diff(y(y), y))*(k(y)+1)*sigma(y)-(4/3)*p(y)^2*y(y)*(diff(k(y), y))*sigma(y)-(4/3)*p(y)^2*y(y)*(k(y)+1)*(diff(sigma(y), y))+(diff(p(y), y))*(k(y)+1)^2+2*p(y)*(k(y)+1)*(diff(k(y), y)))*(y(y)+sigma(y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(diff(y(y), y)+diff(sigma(y), y))*(y(y)-sigma(y))/sigma(y)^2-(3/8)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(diff(y(y), y)-(diff(sigma(y), y)))/sigma(y)^2+(3/4)*beta(y)*((2/3)*p(y)^3*sigma(y)^4+((2/3)*p(y)^3*y(y)^2-(4/3)*q(y))*sigma(y)^2-(4/3)*p(y)^2*y(y)*(k(y)+1)*sigma(y)+p(y)*(k(y)+1)^2)*(y(y)+sigma(y))*(y(y)-sigma(y))*(diff(sigma(y), y))/sigma(y)^3+(1/2)*(-(diff(p(y), y))*sigma(y)^3-3*p(y)*sigma(y)^2*(diff(sigma(y), y))+((diff(p(y), y))*y(y)^2+2*p(y)*y(y)*(diff(y(y), y))-(diff(k(y), y)))*sigma(y)+(p(y)*y(y)^2-k(y)+1)*(diff(sigma(y), y))-(diff(k(y), y))*y(y)-(k(y)+1)*(diff(y(y), y)))/sigma(y)-(1/2)*(-p(y)*sigma(y)^3+(p(y)*y(y)^2-k(y)+1)*sigma(y)-(k(y)+1)*y(y))*(diff(sigma(y), y))/sigma(y)^2)^4

(2)

dsolve(ode)

Error, (in dsolve) Required a specification of the indeterminate function

 

bc := theta(-sigma) = 0, theta(sigma) = 1

theta(-sigma) = 0, theta(sigma) = 1

(3)

sol := dsolve({bc, ode})

(4)

``


 

Download help_ode.mw

Hi, i am using solve and solve command to find the root but when i used fsolve command to separate only real root, could separate all roots, can anyone correct me, please


 

restart

f := 9.765625000*10^(-6)*(-6671.221362*(x^2+2)^5*sqrt(2)*arctan((1/2)*x*sqrt(2))*x-555.9351135*(x^2+2)^6/((1/2)*x^2+1)-10479.13001*(x^2+2)^5*sqrt(2)*x-(374220*(0.297116730e-1*x^9+.269385824*x^7+.99643086*x^5+5.18951288*x^3+4.42867382*x))*x-1111.870227*x^10-12601.19538*x^8-62147.39274*x^6-485504.8775*x^4-828649.1585*x^2-788850.2769)/(x^2+2)^6-(0.1171875000e-3*(-555.9351135*(x^2+2)^6*sqrt(2)*arctan((1/2)*x*sqrt(2))-873.2608343*(x^2+2)^6*sqrt(2)-(374220*(0.29711673e-2*x^10+0.33673228e-1*x^8+.16607181*x^6+1.29737822*x^4+2.21433691*x^2+2.107985348))*x))*x/(x^2+2)^7+(3.484800000*sqrt(2)*(x^2+2)*arctan((1/2)*x*sqrt(2))*x+.8712000000*(x^2+2)^2/((1/2)*x^2+1)+(5.473911040*(x^2+2))*sqrt(2)*x+5.227200000*x^2-22.99200001)/(16*(x^2+2)^2)-(.8712000000*sqrt(2)*(x^2+2)^2*arctan((1/2)*x*sqrt(2))+1.368477760*sqrt(2)*(x^2+2)^2-36*x*(-0.484000000e-1*x^2+.638666667))*x/(4*(x^2+2)^3)

0.9765625000e-5*(-6671.221362*(x^2+2)^5*2^(1/2)*arctan((1/2)*x*2^(1/2))*x-555.9351135*(x^2+2)^6/((1/2)*x^2+1)-10479.13001*(x^2+2)^5*2^(1/2)*x-374220*(0.297116730e-1*x^9+.269385824*x^7+.99643086*x^5+5.18951288*x^3+4.42867382*x)*x-1111.870227*x^10-12601.19538*x^8-62147.39274*x^6-485504.8775*x^4-828649.1585*x^2-788850.2769)/(x^2+2)^6-0.1171875000e-3*(-555.9351135*(x^2+2)^6*2^(1/2)*arctan((1/2)*x*2^(1/2))-873.2608343*(x^2+2)^6*2^(1/2)-374220*(0.29711673e-2*x^10+0.33673228e-1*x^8+.16607181*x^6+1.29737822*x^4+2.21433691*x^2+2.107985348)*x)*x/(x^2+2)^7+(1/16)*(3.484800000*2^(1/2)*(x^2+2)*arctan((1/2)*x*2^(1/2))*x+.8712000000*(x^2+2)^2/((1/2)*x^2+1)+5.473911040*(x^2+2)*2^(1/2)*x+5.227200000*x^2-22.99200001)/(x^2+2)^2-(1/4)*(.8712000000*2^(1/2)*(x^2+2)^2*arctan((1/2)*x*2^(1/2))+1.368477760*2^(1/2)*(x^2+2)^2-36*x*(-0.484000000e-1*x^2+.638666667))*x/(x^2+2)^3

(1)

ip := solve(f = 0, x)

.6540411301, 3126.002498+5414.398621*I, .4137989369+1.038962897*I, .6364817315+1.870977651*I, -.6364817315+1.870977651*I, -.4137989369+1.038962897*I, -.6540411301, -6252.010299, -.4137989369-1.038962897*I, -.6364817315-1.870977651*I, .6364817315-1.870977651*I, .4137989369-1.038962897*I, 3126.002498-5414.398621*I

(2)

cp := fsolve(numer(f) = 0, x)

.6540411302

(3)

``


 

Download help_fsolve_real_root.mw

Dear community, please help me to verify that the obtained solution by using the fsolve command of maple is correct or wrong? and one more question how to generate interval in which our solution should be contained. dear admin if my question is duplicate please do not delete. please have a look on my maple file

Help.mw

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