Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I have a nonlinear differential equation and I need to find an analytic solution for it. Here it is:

[tex]\ddot{S}=-{1 \over 6} \dot{S}-{2 \over 7}(1-S)^2(- \dot{S})^{1.3}[/tex]

I have used a transformation to simplify it:

[tex]-\dot S = v[/tex]

and came up with this DE which I couldn't solve it:

[tex]{{dv} \over {dS}} ={1 \over 6} - {2 \over 7} (1-S)^2 v ^ {0.3}[/tex]

Anyone who can solve them?

Bests,

Ali

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# Unable to solve a nonlinear DE analytically help needed

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