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not able to find solution for a system of differential equation

Posted 9 years ago

Hi, Mathematica 10 not giving any output to the following system of equation and returns the input as output Help required

enter image description here

POSTED BY: Avinash Aman
5 Replies

Looks like Mathematica can't solve it symbolically. Complex differential equations frequently don't have symbolic solutions.

POSTED BY: Frank Kampas
Posted 9 years ago
Dsolve[{((x''[t])/(2*x[t]))+((y[t])/(4*(x[t])^3))+(((x'[t])^2)/(4*(x[t])^2))-((y''[t])/(2*y[t]))-(((y'[t])^2)/(4*(y[t]^2)))==0,((3*x''[t])/(2*x[t]))-(((x'[t])^2)/(4*(x[t])^2))-((y[t])/(2*(x[t])^3))+((y''[t])/(2*y[t]))-((3*((y'[t])^2))/(4*(y[t]^2)))+((2)/(x[t]*y[t]))-((x'[t]*y'[t])/(x[t]*y[t]))==0},{x,y},t]
POSTED BY: Avinash Aman

It would be better to put your code in a "code sample" block, using the first icon under "reply to this discussion". Putting code in as text can result in errors. I speak from experience.

POSTED BY: Frank Kampas
Posted 9 years ago

Here is the equation I typed

DSolve[{((x''[t])/(2*x[t]))+((y[t])/(4*(x[t])^3))+(((x'[t])^2)/(4*(x[t])^2))-
                                       ((y''[t])/(2*y[t]))-(((y'[t])^2)/(4*(y[t]^2)))==0, 
   ((3*x''[t])/(2*x[t]))-(((x'[t])^2)/(4*(x[t])^2))-((y[t])/(2*(x[t])^3))+((y''[t])/(2*y[t]))- 
  ((3*((y'[t])^2))/(4*(y[t]^2)))+((2)/(x[t]*y[t]))-((x'[t]*y'[t])/(x[t]*y[t]))==0},{x,y},t]
POSTED BY: Avinash Aman

these are nonlinear coupled second order ODE. Most non-linear ode's do not have closed form solution. (the ticks on your screen shot look strange. But may be this is copy/paste. It is better to post plain text code here. not screen shot assuming you want someone to copy and try what you have there. You might want to try numerical solution.

POSTED BY: Nasser M. Abbasi
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