Question

What is the general solution of the differential equation `dy/dx = 8sin2x`?

Answer 1

`y = C -4cos2x`

Explanation:

We have:

`dy/dx = 8sin2x`

This is a separable ODE, do we can "separate the variables" to give:

`int \ dy = int \ 8sin2x \ dx`

Both integrals are of standard functions, so we can now integrate to get the General Solution:

`y = -(8cos2x)/2 + C`

`:. y = -4cos2x + C`

`:. y = C -4cos2x`