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Complex differential Equation

  1. Nov 15, 2005 #1
    From a physics problem I obtained this differential equation.
    [tex]\frac{d^3x}{dt^3} =-2(\frac{dx}{dt})^3[/tex]

    Would appreciate any tips on how to solve it as I have no idea on how to start.


    Thanks for the help
     
  2. jcsd
  3. Nov 15, 2005 #2

    Physics Monkey

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    Ugh! Hint: try multiplying both sides by [tex] \frac{d^2 x}{dt^2} [/tex] and see what you can do.
     
  4. Nov 15, 2005 #3
    [tex]1 =-2\frac{d^2 x}{dt^2}*(\frac{dx}{dt})^2[/tex] ??

    I have only covered up to integration in calculus.
     
  5. Nov 15, 2005 #4

    Physics Monkey

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    Just use the chain rule. For example, what is [tex] \frac{d}{dt}\left( \frac{1}{2} \left(\frac{d^2 x}{dt^2} \right)^2 \right) \,\,?[/tex]
     
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