Question: fsolve 3 exponential equations with 3 unknown terms


 

T := proc (t) options operator, arrow; 80+(-1)*1.4375*53*(1-exp((-1)*0.13775e-1*2.875*k*h__1*h__2*t/(1.4375^2*4190*(k*(h__1+h__2)+0.1e-2*h__1*h__2))))/2.875 end proc

proc (t) options operator, arrow; 80+(-1)*1.4375*53*(1-exp((-1)*0.13775e-1*2.875*k*h__1*h__2*t/((1.4375^2*4190*(k*(h__1+h__2)+0.1e-2*h__1*h__2)))))/2.875 end proc

(1)

T(204.39)

53.50000000+26.50000000*exp(-8.094482719*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2))

(2)

T(429.63)

53.50000000+26.50000000*exp(-17.01469059*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2))

(3)

T(872.5)

53.50000000+26.50000000*exp(-34.55372656*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2))

(4)

fsolve({53.50000000+26.50000000*exp(-34.55372656*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 56.15, 53.50000000+26.50000000*exp(-17.01469059*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 64.1, 53.50000000+26.50000000*exp(-8.094482719*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 72.05}, {h__1 = 0 .. 1000, h__2 = 0 .. 1000, k = 0 .. 1000})

fsolve({53.50000000+26.50000000*exp(-34.55372656*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 56.15, 53.50000000+26.50000000*exp(-17.01469059*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 64.1, 53.50000000+26.50000000*exp(-8.094482719*k*h__1*h__2/(8658.242188*k*(h__1+h__2)+8.658242188*h__1*h__2)) = 72.05}, {h__1, h__2, k}, {h__1 = 0 .. 1000, h__2 = 0 .. 1000, k = 0 .. 1000})

(5)

``

it would be great if you could explain me why maple cant numerically solve this set of 3 ecuatios for h1, h2, k being my unknows terms, it works with an exponential function. there is a way to solve it?

thanks..
 

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