How do I solve this equation:
Hello ronaldo_07
y' = tan(x)*y has the trivial solution y=0
Otherwise
y' = tan(x)*y
<=> $\displaystyle \frac{y'}{y} = tan x$
<=>$\displaystyle \frac{1}{y}\frac{dy}{dx} = tan x$
<=> $\displaystyle \frac{1}{y}dy = tan(x) dx$
<=> $\displaystyle \int \frac{1}{y}dy = \int tan(x) dx + C$
<=> ln|y| = ...
Do you need some more hints?
Regards,
Rapha