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

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Answer 1 · 2017-10-06T23:49:28

$y = C -4cos2x$

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:

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

$:. y = -4cos2x + C$

$:. y = C -4cos2x$

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