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Math Help - Wierd differential equation

  1. #1
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    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.
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  2. #2
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    Opalg's Avatar
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    Hint: The right-hand side is \tfrac d{dt}\bigl(\tfrac12x^2\bigr).
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