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
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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
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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