System of two ODEs that depend on symbolic parameter and dsolve cannot solve

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Miltos 2011-7-11

关闭： MATLAB Answer Bot 2021-8-20

Hi, I want to solve a system of 2 ODEs that depend on a parameter. I have used dsolve but it cannot solve the system:

dsolve('(t/x)*(Dx-(y^2)*x*Dy)=y^3','x+t*Dx+(2*t^2)*Dy/y^3=(2*t/y^2)-2*(z-x)-w*t','t')

Here z and w are the (symbolic) parameters and I get the message "Warning: Explicit solution could not be found"

Any ideas how can I get a solution of this system?

Many thanks in advance

RahulTandon 2015-7-6

The reason is simple: you have 2 equations and 3 unknowns: x , y , z. Cannot be solved. You need 1 equation more!!

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