(sin y cos y+x cos ^2 y) d x+x d y=0

Name: (sin y cos y+x cos ^2 y) d x+x d y=0
Uploaded: 2020-06-26T01:50:04-08:00
Duration: 55 s
Channel: Jack Chen
Description: (sin y cos y+x cos ^2 y) d x+x d y=0

First, let's try to simplify the equation by factoring out a common term. We can factor out (

Question

\( \left(\sin y \cos y+x \cos ^{2} y\right) d x+x d y=0 \)

          \( \left(\sin y \cos y+x \cos ^{2} y\right) d x+x d y=0 \)

Added by Jason V.

Fundamentals of Differential Equations

R. Kent Nagle 9th Edition

Chapter 8

Instant Answer

Solved by Expert Jack Chen

06/26/2020

Step 1

We can factor out \( \cos y \) from the first term: \( \cos y (\sin y + x \cos y) dx + x dy = 0 \) Now, let's rearrange the equation to isolate the differentials: \( \cos y (\sin y + x \cos y) dx = -x dy \) Dividing both sides by \( \cos y (\sin y + x \cos y) Show more…

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