Solve for the solution of the Homogeneous DE: (x - y)dx + (3x + y)dy = 0 when x = 2; y = -1 a. (x - y) In(x + y) + 2(x + 2y) = 0 b. (x + y) In(x + y) + 2(x 2y) = 0 c. (x + y) In(x - y) + 2(x + 2y) = 0 d. (x + y) In(x + y) 2(x + 2y) = 0 e. none of these

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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Solve for the solution of the Homogeneous DE: (x - y)dx + (3x + y)dy = 0 when x = 2; y = -1
%3D
a. (x – y) In(x + y) + 2(x + 2y) = 0
b. (x + y) In(x + y) + 2(x – 2y) = 0
c. (x + y) In(x - y) + 2(x + 2y) = 0
d. (x + y) In(x + y)
2(x + 2y) = 0
e. none of these
Transcribed Image Text:Solve for the solution of the Homogeneous DE: (x - y)dx + (3x + y)dy = 0 when x = 2; y = -1 %3D a. (x – y) In(x + y) + 2(x + 2y) = 0 b. (x + y) In(x + y) + 2(x – 2y) = 0 c. (x + y) In(x - y) + 2(x + 2y) = 0 d. (x + y) In(x + y) 2(x + 2y) = 0 e. none of these
Solve for the solution of the Homogeneous DE: (3x?
- 2xy + 3y?)dx = 4xydy
a. (y + 3x)³(y + x) = cx3
b. (y + 3x)³(y – x) = cx³
-
с. (у — 3x)° (у — х) — сх3
d. (y + 3x)³(y + x) = cx3
e. none of these
Transcribed Image Text:Solve for the solution of the Homogeneous DE: (3x? - 2xy + 3y?)dx = 4xydy a. (y + 3x)³(y + x) = cx3 b. (y + 3x)³(y – x) = cx³ - с. (у — 3x)° (у — х) — сх3 d. (y + 3x)³(y + x) = cx3 e. none of these
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