# Differential equations of first order and second degree

Solve :

$$y=p \log p + \log(\cos p)$$ where $p$ is $dy/dx$

Solving for $p$ I get in my equation $\tan p/p$ which I am not sure how to solve. Help please !

Also,is there something that I'm missing , like prolly an easier way to go about this. Thanks!

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Hint: This is Lagrange's differential equation, with $\varphi \equiv 0$. –  user1337 Dec 4 '13 at 17:43
the form of lagrange's equation is y=xf(y') + g(y') but there's no x in the above eqn , right? –  user113051 Dec 4 '13 at 18:55
that's why you should take $f(y')=0$. –  user1337 Dec 4 '13 at 21:24