Solving differential equations..help!

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March 28th 2010, 03:53 PM
puravida12

Solving differential equations..help!

y' =(ln x)/xy
y(1)=2

and

y'=y
y(0) = 1

HELP!
March 28th 2010, 04:02 PM
pickslides

Quote:

Originally Posted by puravida12

y' =(ln x)/xy
y(1)=2

$\frac{dy}{dx} = \frac{\ln x}{xy}$

$y~dy = \frac{\ln x}{x}~dx$

$\int y~dy = \int \frac{\ln x}{x}~dx$

Quote:

Originally Posted by puravida12

y'=y
y(0) = 1

$\frac{dy}{dx} = y$

$\frac{dy}{y} = dx$

$\int \frac{dy}{y} = \int ~1 dx$

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