6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x + ye/)dx - xe/ dy = 0, y(1) = 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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Question
need help on problems 6 and 7
![§1.5 HOMOGENEOUS EQUATIONS
Determine whether the given equation is homogeneous. If it is, solve it by treating as such.
1. xdx + (y-2x)dy = 0
2. (y² + yx)dx= x²dy = 0
dy Y x
3. = +
dr I Y
(y +
5. (x² + xy - y²)dx + xydy = 0
dy
6. ry²- = y³x³, y(1) = 2
dx
7. (x + ye/)dx - xe/ dy = 0, y(1) = 0
4.
cot)dx - xdy = 0
+ x cot
PROBLEM SET 1.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9580d8a9-6eaf-4c2d-ab69-591b10f22820%2F78ec3b1c-cd0e-44ae-b001-c38a4793ca1c%2Ft6rr8tq_processed.png&w=3840&q=75)
Transcribed Image Text:§1.5 HOMOGENEOUS EQUATIONS
Determine whether the given equation is homogeneous. If it is, solve it by treating as such.
1. xdx + (y-2x)dy = 0
2. (y² + yx)dx= x²dy = 0
dy Y x
3. = +
dr I Y
(y +
5. (x² + xy - y²)dx + xydy = 0
dy
6. ry²- = y³x³, y(1) = 2
dx
7. (x + ye/)dx - xe/ dy = 0, y(1) = 0
4.
cot)dx - xdy = 0
+ x cot
PROBLEM SET 1.5
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