Answer
$$y= \sin^{-1}(Ce^{\theta})$$
Work Step by Step
\begin{aligned}
\frac{d y}{d \theta} &=\tan y \\
\int \frac{1}{\tan y} d y &=\int d \theta \\
\ln \sin y&= \theta +C\\
y&= \sin^{-1}(Ce^{\theta})
\end{aligned}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 10 - Introduction to Differential Equations - 10.1 Solving Differential Equations - Exercises - Page 505: 28
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