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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84b7c48a-03c9-4575-a051-1465348e91a6%2Fb77e03b3-b803-4396-8b86-b3b7db4ffbbb%2Fakn6tah_processed.png&w=3840&q=75)
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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