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11. 3y(x? – 1)dx+ (x³ + 8y – 3x)dy = 0; y= 1 when x = 0 Answer: xy(x2 – 3) = 4(1– y²) 12 4-=0 dx y Answer: x = Cy

11. 3y(x? – 1)dx+ (x³ + 8y – 3x)dy = 0; y= 1 when x = 0 Answer: xy(x2 – 3) = 4(1– y²) 12 4-=0 dx y Answer: x = Cy

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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Test for exactness and determine the solution of each DE

11. Зу (x? — 1)dx + (x3 + 8y — 3х)dy — 0%; у 3D 1 when x 3D 0 Answer: хy(x? — 3) %3 4(1 — у?) dx 12. y xdy - Answer: x 3D Су
Transcribed Image Text:11. Зу (x? — 1)dx + (x3 + 8y — 3х)dy — 0%; у 3D 1 when x 3D 0 Answer: хy(x? — 3) %3 4(1 — у?) dx 12. y xdy - Answer: x 3D Су
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