Using the substitutionx = vyanddx=vdy + ydv, solve the homogeneous differential equation ydx + (2x - y) dy=0 A 3.x =C
Using the substitutionx = vyanddx=vdy + ydv, solve the homogeneous differential equation ydx + (2x - y) dy=0 A 3.x =C
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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Question
![Using the substitutionx = vyanddx=vdy + ydv, solve
the homogeneous differential equation
ydx + (2x - y) dy=0
3x
@ √( ² ² - 1) ² = 0
A
y
y
3x
® + ( + ² + ¹ ) ³ = ²
B
=C
y
3x
© ‚ (²3²+ + ₁] ² = ₁
3
y
=C
y
D
3x
y
3
1 =C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ed63272-aed6-484f-acc3-1c85634e54fa%2Fda079474-9cf1-41a0-a024-7c8133ca31bb%2Fp8ulw54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the substitutionx = vyanddx=vdy + ydv, solve
the homogeneous differential equation
ydx + (2x - y) dy=0
3x
@ √( ² ² - 1) ² = 0
A
y
y
3x
® + ( + ² + ¹ ) ³ = ²
B
=C
y
3x
© ‚ (²3²+ + ₁] ² = ₁
3
y
=C
y
D
3x
y
3
1 =C
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