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

Milton Anderson 2022-09-12 Answered
What is the general solution of the differential equation d y d x = 8 sin 2 x ?
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Answers (1)

Krista Leon
Answered 2022-09-13 Author has 12 answers
We have:
d y d x = 8 sin 2 x
This is a separable ODE, do we can "separate the variables" to give:
  d y =   8 sin 2 x   d x
Both integrals are of standard functions, so we can now integrate to get the General Solution:
y = - 8 cos 2 x 2 + C
y = - 4 cos 2 x + C
y = C - 4 cos 2 x

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