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3x² e²² dx + 2(x³ − 1)ye³² dy = 0 -

3x² e²² dx + 2(x³ − 1)ye³² dy = 0 -

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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Show that the following equation is exact and then find its general solu- tion (write your answer in explicit form)

3x² e²² dx + 2(x³ − 1)yeº² dy = 0
Transcribed Image Text:3x² e²² dx + 2(x³ − 1)yeº² dy = 0
Expert Solution
Step 1: Solution

Given: 3 x squared e to the power of y squared end exponent d x plus 2 left parenthesis x cubed minus 1 right parenthesis y e to the power of y squared end exponent d y equals 0

We have to show that the given differential equation is exact and the find its general solution.

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