first order ode stuck

**rlkmg** · November 23rd 2010, 01:46 PM

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

**pickslides** · November 23rd 2010, 02:00 PM

I get

$\displaystyle y' x = 4y$

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

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

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

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

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

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

**rlkmg** · November 24th 2010, 08:26 AM

thanks! got it now

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