Dear all, how can we find all the 2nd order differential equation

$\displaystyle f(x,y,y',y'')=0$

whose differential verfies

$\displaystyle g(x,y,y')y'''=0?$

Thank you in advance.

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- Oct 14th 2011, 10:44 PMxinglongdadaFind the integral of a ode...
Dear all, how can we find all the 2nd order differential equation

$\displaystyle f(x,y,y',y'')=0$

whose differential verfies

$\displaystyle g(x,y,y')y'''=0?$

Thank you in advance.