Simple Differential eq

Printable View

January 2nd 2010, 06:44 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, 07:40 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.

$y=Ke^{x^{3}}$

All times are GMT -8. The time now is 10:10 PM.

Copyright © 2005-2014 Math Help Forum. All rights reserved.

Copyright © 2005-2014 Math Help Forum. All rights reserved.