Verify that the given differential equation is exact; then solve it. (3x2y3 + y4) dx + (3x³y² + y² + 4xy³) dy = 0 (e sin y + tan y) dx + (e' cos y + x sec² y) dy = 0
Verify that the given differential equation is exact; then solve it. (3x2y3 + y4) dx + (3x³y² + y² + 4xy³) dy = 0 (e sin y + tan y) dx + (e' cos y + x sec² y) dy = 0
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:4. Verify that the given differential equation is exact; then solve it.
(3x²y3 + y4) dx + (3x³y2 + y4 + 4xy³) dy = 0
(e* sin y + tan y) dx + (e cos y + x sec² y) dy = 0
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