Solve the homogeneous equation : (x² - 2xy)dy + (x² – 3xy + 2y2)dx = 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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1. Solve the homogeneous equation:
(x2 - 2xy)dy + (x² – 3xy + 2y2)dx = 0
2. Find the particular integral of
3x.
(D' -6D+13)y = 8e" sin 4x+2,.
3. Solve the Differential Equation y" + 4y = 4 sec 2x
%3D
by variation of Parameter method.
dy
4. Solve
dx
x+ycos x
1+sin x
5. Solve x2 2x-4y =x*
dx2
Transcribed Image Text:1. Solve the homogeneous equation: (x2 - 2xy)dy + (x² – 3xy + 2y2)dx = 0 2. Find the particular integral of 3x. (D' -6D+13)y = 8e" sin 4x+2,. 3. Solve the Differential Equation y" + 4y = 4 sec 2x %3D by variation of Parameter method. dy 4. Solve dx x+ycos x 1+sin x 5. Solve x2 2x-4y =x* dx2
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