Answer
$y=-cos(x)+C$, valid for all real values
Work Step by Step
Integrate the function to turn $y'$ to $y$. Don't forget an integration constant. $$y'=sin(x)$$ $$y=-cos(x)+C$$ This solution is valid for all real values.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 1 - First-Order Differential Equations - 1.2 Basic Ideas and Terminology - Problems - Page 22: 33
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