$\displaystyle \frac{d^2x}{dt^2}=x\cdot \frac{dx}{dt}$

I don't even know where to start. Can someone give me a little push?

Thanks in advance.

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- Jan 3rd 2009, 05:50 AMespen180Wierd differential equation
$\displaystyle \frac{d^2x}{dt^2}=x\cdot \frac{dx}{dt}$

I don't even know where to start. Can someone give me a little push?

Thanks in advance. - Jan 3rd 2009, 06:53 AMOpalg
Hint: The right-hand side is $\displaystyle \tfrac d{dt}\bigl(\tfrac12x^2\bigr)$.