# Thread: first order ode stuck

1. ## first order ode stuck

Having a bit of trouble, what do i do next? Thanks.

2. I get

$\displaystyle y' x = 4y$

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

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

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

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

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

$\displaystyle y = e^{4\ln x +C}$

3. thanks! got it now