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2. (5v-u)du + (3v- 7u)dv = 0

2. (5v-u)du + (3v- 7u)dv = 0

Advanced Engineering Mathematics
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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Homogenous equation Answer no.2
I. II. HOMOGENEOUS EQUATIONS Obtain the general solution of the following differential equations 1. 3yax+ (x² + y²)dy = 0 2. (5v-u)du + (3v- 7u)dv = 0 3. 2(2x² + y²)dx - xydy = 0 Obtain the particular solution of the following differential equations 4. (3x²2y²)y = 2xy; when y(0) = − 1 5. v(3x + 2v)dx- x²dv = 0; when x = 1, v = 2
Transcribed Image Text:I. II. HOMOGENEOUS EQUATIONS Obtain the general solution of the following differential equations 1. 3yax+ (x² + y²)dy = 0 2. (5v-u)du + (3v- 7u)dv = 0 3. 2(2x² + y²)dx - xydy = 0 Obtain the particular solution of the following differential equations 4. (3x²2y²)y = 2xy; when y(0) = − 1 5. v(3x + 2v)dx- x²dv = 0; when x = 1, v = 2
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