Hi everyone

I'm trying to solve the following system of ODE equations for my end paper and since I'm new with maple I couldn't find a way to do it. Can anyone Plz help me? I need to fit a curve to the result and gain a symbolic equation.

Here are the equations I need to solve

d^2*Y(x)/dt^2 = 500000*Y(x)*exp(-10/T(x))+d*Y(x)/dt

d^2*T(x)/dt^2 = 10*(-100000*Y(x)*exp(-10/T(x)))+d*T(x)/dt

with the follwoing boundary conditions:

Y(0)=1 , Y'(0)=0, T(0)=0 , T'(0)=0

I need to plot Y and T and then find then do the curve fitting thing.

I really appreciate your help.

Hi everyone,

I'm kinda new here, and I really hope you guys can help me through this.

I'm doing a term project and I need to solve this differential equation. I tried to make it work, but since I'm new with maple I couldn't get to any result. So I really appreciate if you can help me solve the problem, since I am eally stuck here and all other results sort of depend on this equation.

here is the equation:

diff(y(x), x, x) = -(8*omega*(1-exp(-8*x))*exp(-8*x)/(2*x^2)-pi^2/(32*x))*y(x)

with following boundary conditions:

y(0)=0,

y(1/2)=0 ,

y'(0)=1.

thanks again.