[SOLVED] Differential

**ronaldo_07** · January 29th 2009, 05:47 PM

How do I solve this equation:

**Rapha** · January 29th 2009, 06:17 PM

Originally Posted by ronaldo_07

How do I solve this equation:

Hello ronaldo_07

y' = tan(x)*y has the trivial solution y=0

Otherwise

y' = tan(x)*y

<=> $\frac{y'}{y} = tan x$

<=> $\frac{1}{y}\frac{dy}{dx} = tan x$

<=> $\frac{1}{y}dy = tan(x) dx$

<=> $\int \frac{1}{y}dy = \int tan(x) dx + C$

<=> ln|y| = ...

Do you need some more hints?

Regards,
Rapha

**ronaldo_07** · February 3rd 2009, 05:02 PM

thanks that was helpful enough

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