Solve the differential equation. y = (cos r) (cos 2y) %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Solve the differential equation.
V = (cos" #) (cos² 2y)
Identity:
1+ cos (20)
cos (e)
Transcribed Image Text:1. Solve the differential equation. V = (cos" #) (cos² 2y) Identity: 1+ cos (20) cos (e)
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y'=\cos ^2\left(x\right)\cos ^2\left(2y\right)

\frac{dy}{dx}=\cos ^2\left(x\right)\cos ^2\left(2y\right)

\frac{1}{\cos ^2\left(2y\right)}dy=\cos ^2\left(x\right)dx

\sec ^2\left(2y\right)dy=\cos ^2\left(x\right)dx

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