III. Homogeneous DE 1. x dy + (y – 2x) dx = 0 2. (2x + 3y) dx + (3x + 2y) dy = 0 3. 3(x2 – y?) dx + 3y(y – 2x) dy = 0 4. y dx + (x – 4y) dy = 0 5. (x2 + y?) dx + (x² + y²) dy = 0 6. 3xy? dx + (3x²y + 2y³) dy = 0,y(1) = 2 7. (x – 2y) dx – (2x + y) dy = 0; y(1) = 3 8. (x - 3y) dx + (3x - y) dy = 0; y(0) = 2 9. (x2 - 9y2) dx + (2xy) dy = 0; y(2) = -1 10. x dy + (y In y - y In x - 2y) dx = 0; y(1) = 1 %3D %3D %3D
III. Homogeneous DE 1. x dy + (y – 2x) dx = 0 2. (2x + 3y) dx + (3x + 2y) dy = 0 3. 3(x2 – y?) dx + 3y(y – 2x) dy = 0 4. y dx + (x – 4y) dy = 0 5. (x2 + y?) dx + (x² + y²) dy = 0 6. 3xy? dx + (3x²y + 2y³) dy = 0,y(1) = 2 7. (x – 2y) dx – (2x + y) dy = 0; y(1) = 3 8. (x - 3y) dx + (3x - y) dy = 0; y(0) = 2 9. (x2 - 9y2) dx + (2xy) dy = 0; y(2) = -1 10. x dy + (y In y - y In x - 2y) dx = 0; y(1) = 1 %3D %3D %3D
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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PLEASE ANSWER ITEM NUMBER 6 ONLY. DIFFERENTIAL EQUATIONS.
Transcribed Image Text:III. Homogeneous DE
1. x dy + (y – 2x) dx = 0
2. (2x + 3y) dx + (3x + 2y) dy = 0
3. 3(x2 – y?) dx + 3y(y – 2x) dy = 0
4. y dx + (x - 4y) dy = 0
5. (x² + y?) dx + (x² + y²) dy = 0
6. 3xy? dx + (3x²y + 2y³) dy = 0,y(1) = 2
7. (x – 2y) dx – (2x + y) dy = 0; y(1) = 3
8. (x – 3y) dx + (3x – y) dy = 0; y(0) = 2
9. (x2 – 9y?) dx + (2xy) dy = 0; y(2) = -1
10. x dy + (y In y – y In x- 2y) dx = 0; y(1) = 1
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