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Math Help - Simple Differential eq

  1. #1
    Junior Member xterminal01's Avatar
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    Simple Differential eq

    Is this correct?

    \frac{dy}{dx} = 3x^2y

    \frac{1}{y} dy = 3x^2dx

    \int\frac{1}{y}dy= \int(3x^2dx)

     \ln|x| = x^3dx + C
    Last edited by xterminal01; January 2nd 2010 at 07:08 AM.
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    Almost. Just finish up.

    y=e^{x^{3}+C}

    y=e^{x^{3}}\cdot e^{C}

    But, e^{C} is a constant we can call, say, K.

    y=Ke^{x^{3}}
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