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April 18, 2014

April 18, 2014

Posted by **Emma** on Tuesday, October 13, 2009 at 1:43am.

How do I sketch this??? Where do I start?

- Calculus -
**MathMate**, Tuesday, October 13, 2009 at 4:48pmYou can separate the variables and integrate.

dy/dx = xy

dy/y = xdx

Integrate to get

log(y)+c = x²/2 (C=constant)

e^{log(y)+c}= e^{x^2/2}

e^{c}y = e^{x^2/2}

y = ke^{x^2/2}where k=e^{-c}

Now you can plot a family of curves for the solution y=f(x).

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