Solve. Try different ways! O 1. (x+ y) dx + (x – y) dy = 0 2. (6x + y") dx + y (2x- 3y) dy = 0 3. (2xy– 3x°) dx + (x² + y) dy = 0 4. (y² – 2xy + 6x) dx – (x² – 2xy + 2) dy = 0 5. (2xy + y) dx + (x²-x) dy = 0 6. x (3xy – 4y + 6) dx + (x² – 6x°y² – 1) dy =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
Solve. Try different ways! O 1. (x+ y) dx + (x – y) dy = 0 2. (6x + y") dx + y (2x- 3y) dy = 0 3. (2xy– 3x°) dx + (x² + y) dy = 0 4. (y² – 2xy + 6x) dx – (x² – 2xy + 2) dy = 0 5. (2xy + y) dx + (x²-x) dy = 0 6. x (3xy – 4y + 6) dx + (x² – 6x°y² – 1) dy =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
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
can you please give the solution for number 1
![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%2Faaac1ffb-9a79-40bf-b2f1-c9ff491ca9d1%2Fcox3jno_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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