Answer
$-\frac{1}{2}cos(2x) +C$
Work Step by Step
First use separation of variables on the differential equation.
$\frac{dy}{dx}= sin(2x)$
$\int dy= \int sin(2x) dx$, Use U substitution, making u=2x.
$y= -\frac{1}{2}cos(2x) +C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 6 - Differential Equations - 6.1 Exercises - Page 404: 47
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