How does the following differential equation (y+2xy*) dx + (1+ 3.x²y² + x) dy = 0 satisfy the criterion for an exact differential equation?
How does the following differential equation (y+2xy*) dx + (1+ 3.x²y² + x) dy = 0 satisfy the criterion for an exact differential equation?
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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Transcribed Image Text:ƏM
t does not satisfy the criterion because
ду
ƏN
Əx
ƏM
ƏN
1
he
ƏM
ƏN
- 6a²y
dx
dy
ƏM
ƏN
6xy + 1
dy
Transcribed Image Text:How does the following differential equation (y + 2xy³) dx + (1+3x²y² + x) dy = 0 satisfy
the criterion for an exact differential equation?
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