1. Solve: ye*) dx + (xe*y+ 2y) dy = 0. %3D 2. Solve: (1+ x²) +y = etanx ty3e" dx %3D 3. Solve: p(p + y) = x(x + y). %3D 4. Find the general and singular solution of the differential equation (px - y)(x-py) = 2p by taking u = x²,v = y². 5. Solve: (1+xy)y dx + (1 – xy)x dy = 0. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Solve: yeY dx + (xe*y+2y) dy = 0.
2. Solve: (1+x²) +y = etan-x
3. Solve: p(p + y) = x(x + y).
4. Find the general and singular solution of the differential equation
(px - y)(x - py) = 2p by taking u =x²,v = y².
5. Solve: (1+ xy)y dx + (1 - xy)x dy = 0.
dy
%3D
dx
%3D
%3D
Transcribed Image Text:1. Solve: yeY dx + (xe*y+2y) dy = 0. 2. Solve: (1+x²) +y = etan-x 3. Solve: p(p + y) = x(x + y). 4. Find the general and singular solution of the differential equation (px - y)(x - py) = 2p by taking u =x²,v = y². 5. Solve: (1+ xy)y dx + (1 - xy)x dy = 0. dy %3D dx %3D %3D
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