Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy / (x² - y²) dy 4 - x+y dx х-у 5- (r?-3y² + x + y – 2)dx + (x – 6xy + y² + 10)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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Q3/ Solve the following equations:
1- x(2y – 3)dx + (x² + 1)dy = 0
%3D
dy
2-
dx
4y
x(у-3)
3. y' = 2xy / (x² - y²)
dy
4 -
x+y
dx
х-у
5- (x²-3y² + x + y – 2)dx + (x – 6xy + y² + 10)dy = 0
Transcribed Image Text:Q3/ Solve the following equations: 1- x(2y – 3)dx + (x² + 1)dy = 0 %3D dy 2- dx 4y x(у-3) 3. y' = 2xy / (x² - y²) dy 4 - x+y dx х-у 5- (x²-3y² + x + y – 2)dx + (x – 6xy + y² + 10)dy = 0
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