# How to you find the general solution of dy/dx=sin2x?

Nov 27, 2016

Use the separation of variables method. Answer:
$y = - \frac{1}{2} \cos \left(2 x\right) + C$

#### Explanation:

$\mathrm{dy} = \sin \left(2 x\right) \mathrm{dx}$

$\int \mathrm{dy} = \int \sin \left(2 x\right) \mathrm{dx}$

$y = - \frac{1}{2} \cos \left(2 x\right) + C$