Simple Differential eq

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January 2nd 2010, 07:44 AM
xterminal01

Simple Differential eq

Is this correct?

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

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

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

$\ln|x| = x^3dx + C$
January 2nd 2010, 08:40 AM
galactus

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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