Wierd differential equation

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January 3rd 2009, 05:50 AM
espen180

Wierd differential equation

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

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

Thanks in advance.
January 3rd 2009, 06:53 AM
Opalg

Hint: The right-hand side is $\tfrac d{dt}\bigl(\tfrac12x^2\bigr)$ .

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