4. y dx -x dy = x + y? .2

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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Solve D.E. Q4 ONLY
Solve the following differential equations :
1. (a - y?) dx = 2xy dy
2. (x²y – 2iy) dx - (1* – 3xy) dy = 0.
3. xy dx - (x + y) dy = 0.
4. y dx - x dy = Vx + y? dx.
5. y? + x2
dy
dy
6. (3xy - 2ay) dx + (x2 - 2axy) dy = 0.
=xy
dx
dx
Transcribed Image Text:Solve the following differential equations : 1. (a - y?) dx = 2xy dy 2. (x²y – 2iy) dx - (1* – 3xy) dy = 0. 3. xy dx - (x + y) dy = 0. 4. y dx - x dy = Vx + y? dx. 5. y? + x2 dy dy 6. (3xy - 2ay) dx + (x2 - 2axy) dy = 0. =xy dx dx
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