Answer
$-cos(x)-\frac{y^3}{3}+c=0$
Work Step by Step
$\frac{dy}{dx}+y^2sin(x)=0$
Separate variables
$\frac{dy}{dx}=-y^2sin(x)$
$\int{sin(x)dx}=\int{-y^2dy}$
$-cos(x)-\frac{y^3}{3}+c=0$
Elementary Differential Equations and Boundary Value Problems 9th Edition
by Boyce, William E.; DiPrima, Richard C.
Published by
Wiley
ISBN 10:
0-47038-334-8
ISBN 13:
978-0-47038-334-6
Chapter 2 - First Order Differential Equations - 2.2 Separable Equations - Problems - Page 47: 3
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