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not able to find solution for a system of differential equation

Posted 10 years ago
POSTED BY: Avinash Aman
5 Replies

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
Posted 10 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
POSTED BY: Frank Kampas
Posted 10 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

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

POSTED BY: Frank Kampas
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