МАTН-443 DIFFERENTIAL EQUATIONS Problem Set 5 erent ways! O dx + (x - y) dy = 0 ) dx + y (2x– 3y) dy = 0 3x²) dx + (x² + y) dy = 0 xy + 6x) dx – (x² – 2xy + 2) dy = 0 v) dx + (x²– x) dy = 0 – 4y³ + 6) dx + (x² – 6x²y² – 1) dy = 0 cos (xy)] dx + x cos (xy) dy = 0 2r cos' e) dr + r cos e (2r sin e +1) de = 0
МАTН-443 DIFFERENTIAL EQUATIONS Problem Set 5 erent ways! O dx + (x - y) dy = 0 ) dx + y (2x– 3y) dy = 0 3x²) dx + (x² + y) dy = 0 xy + 6x) dx – (x² – 2xy + 2) dy = 0 v) dx + (x²– x) dy = 0 – 4y³ + 6) dx + (x² – 6x²y² – 1) dy = 0 cos (xy)] dx + x cos (xy) dy = 0 2r cos' e) dr + r cos e (2r sin e +1) de = 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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can you please give me the solution for number 5
![МАTН-443
DIFFERENTIAL EQUATIONS
Problem Set 5
Solve. Try different ways! O
1. (x+ y) dx + (x – y) dy = 0
2. (бх +у) dx +y (2х - 3у) dy 3D0
3. (2ху- 3x) dx + (x? + у) dy 3D0
4. (y² – 2xy + 6x) dx – (x² – 2xy + 2) dy = 0
5. (2ху + y) dx + (x?- х) dy 3D0
6. x (3ху- 4y + 6) dx + (x - бх'у - 1) dyу - 0
7. [2x + y cos (xy)] dx + x cos (xy) dy = 0
8. (sin e - 2r cos' e) dr +r cos e (2r sin e +1) de = 0
9. (w+ wz? - 2) dw + (z² +w?z = w) dz = 0
10. (r + sin e - cos e) dr +r (sin e+ cos e)d e = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F403e599b-5ce0-4000-b663-3cb452475516%2F2c5bf6f3-61be-4319-ba35-cd60a268c617%2Fkppmjcq_processed.png&w=3840&q=75)
Transcribed Image Text:МАTН-443
DIFFERENTIAL EQUATIONS
Problem Set 5
Solve. Try different ways! O
1. (x+ y) dx + (x – y) dy = 0
2. (бх +у) dx +y (2х - 3у) dy 3D0
3. (2ху- 3x) dx + (x? + у) dy 3D0
4. (y² – 2xy + 6x) dx – (x² – 2xy + 2) dy = 0
5. (2ху + y) dx + (x?- х) dy 3D0
6. x (3ху- 4y + 6) dx + (x - бх'у - 1) dyу - 0
7. [2x + y cos (xy)] dx + x cos (xy) dy = 0
8. (sin e - 2r cos' e) dr +r cos e (2r sin e +1) de = 0
9. (w+ wz? - 2) dw + (z² +w?z = w) dz = 0
10. (r + sin e - cos e) dr +r (sin e+ cos e)d e = 0
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