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2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Solve: (6x + 1)y 2dy + 32² + 2y = 0 dr
Transcribed Image Text:2. Solve: (6x + 1)y 2dy + 32² + 2y = 0 dr
Expert Solution
Step 1

The given differential equation is (6x+1)y2dydx+3x2+2y3=0.

Divide both sides of the given equation by 6x+1 and rearrange the terms to obtain the Bernoulli equation.

y2dydx+3x26x+1+2y36x+1=0y2dydx+26x+1y3=-3x26x+1

 

 

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