# Wierd differential equation

• 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?

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