# first order ode stuck

• November 23rd 2010, 01:46 PM
rlkmg
first order ode stuck
Having a bit of trouble, what do i do next? Thanks.
• November 23rd 2010, 02:00 PM
pickslides
I get

$\displaystyle y' x = 4y$

$\displaystyle \frac{dy}{dx}x = 4y$

$\displaystyle \frac{dy}{y}= \frac{4}{x}~dx$

$\displaystyle \int \frac{dy}{y}= \int \frac{4}{x}~dx$

$\displaystyle \ln y = 4\int \frac{1}{x}~dx$

$\displaystyle \ln y = 4\ln x +C$

$\displaystyle y = e^{4\ln x +C}$
• November 24th 2010, 08:26 AM
rlkmg
thanks! got it now :)