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ODE solution...

Answered: AHSAN 165

April 26 2020

0 0

i am trying to solve this equation but could not get the result. need help

(1)

F := (-(288*(lambda+2*k*(1/3)-2/3))*sqrt(2)*lambda^2*arctan((1/2)*sqrt(4*lambda/(1-k)-2)*sqrt(2))/(1-k)^2-(144*(lambda+2*k*(1/3)-2/3))*Pi*lambda^2*sqrt(2)/(1-k)^2-(36*((lambda+2*k*(1/3)-2/3)*(4*lambda/(1-k)-2)+10*lambda*(1/3)+4*k*(1/3)-4/3))*sqrt(4*lambda/(1-k)-2))*(1-k)^2/(256*lambda^2)

0.3164062500e-2*(-355.5555555*(lambda-.6000000000)*2^(1/2)*lambda^2*arctan((1/2)*(4.444444444*lambda-2)^(1/2)*2^(1/2))-558.5053607*(lambda-.6000000000)*lambda^2*2^(1/2)-36*((lambda-.6000000000)*(4.444444444*lambda-2)+(10/3)*lambda-1.200000000)*(4.444444444*lambda-2)^(1/2))/lambda^2

(2)

(3)

(4)

(5)

for j do p := evalF([Line([`λ__1`, F(`λ__1`)], [`λ__2`, F(`λ__2`)])][5]); if abs(F(p)) < tol then break elif F(p) > 0 then `λ__2` := p else `λ__1` := p end if end do; root = p, residual = F(p)

Error, invalid subscript selector

root = p, residual = 0.3164062500e-2*(-355.5555555*(lambda(p)-.6000000000)*2^(1/2)*lambda(p)^2*(arctan((1/2)*(4.444444444*lambda-2)^(1/2)*2^(1/2)))(p)-558.5053607*(lambda(p)-.6000000000)*lambda(p)^2*2^(1/2)-36*((lambda(p)-.6000000000)*(4.444444444*lambda(p)-2)+(10/3)*lambda(p)-1.200000000)*(4.444444444*lambda(p)-2)^(1/2))/lambda(p)^2