Please could someone help me with this diff equation - I have been trying multitudes of substitution and have not yielded any progress. Help will be very appreciated.

Thank you friends

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- July 19th 2013, 04:12 PM #1

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## Re: Help with DE

Hi !

This is a Riccati equation.

write it on the form : y' = P(x) +Q(x)*y +R(x)*y²

Let y = -z'/(z*R)

Compute y' in terms of z'', z', z

Bring back y' and y into y' = P(x) +Q(x)*y +R(x)*y²

This leads to a linear ODE (second order)

Solve it for z(x)

Compute z'

Bring back z' and z into y = -z'/(z*R) which leads to y(x)