1. y + 2y = x?y³ %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Do number n iff n ≡ 6 (mod 4). Find the general solution of the following differential equations. 

1. y +2y = x²y³
2. y – 2r°y = x³y¬l
%3D
%3D
3. y +y = x²y2
4. y +a*y = x*y-2
5. (8u^у + За%) dx + (12$y? + Зrу?) dy 3D0
6. (5л^у + 4гу) dx + (За5 + 52^y?) dy 3 0
7. Зу^ dх + (4ху" + 5x ?у4) dy %3D0
8. (2гy? + у + 2гу сos z?) dx + (2 sin x? + 3a?y + 2х) dy %3D 0
9. y" – 2y – 3y = -t – 3e-2
|
10. y" – y – 6y = 2e- - t
11. y" – 2y – 3y = t +e-21
12. у" — у 3 Ае-t - 2 сos l
%3D
13. y" + 10y + 25у 3 е-5" In(30)
14. y" + 6у + 9у — 2е 3" In(31)
15. у" + 16у %3D scc(40)
16. у" + 25у %3D— scc (50)
Transcribed Image Text:1. y +2y = x²y³ 2. y – 2r°y = x³y¬l %3D %3D 3. y +y = x²y2 4. y +a*y = x*y-2 5. (8u^у + За%) dx + (12$y? + Зrу?) dy 3D0 6. (5л^у + 4гу) dx + (За5 + 52^y?) dy 3 0 7. Зу^ dх + (4ху" + 5x ?у4) dy %3D0 8. (2гy? + у + 2гу сos z?) dx + (2 sin x? + 3a?y + 2х) dy %3D 0 9. y" – 2y – 3y = -t – 3e-2 | 10. y" – y – 6y = 2e- - t 11. y" – 2y – 3y = t +e-21 12. у" — у 3 Ае-t - 2 сos l %3D 13. y" + 10y + 25у 3 е-5" In(30) 14. y" + 6у + 9у — 2е 3" In(31) 15. у" + 16у %3D scc(40) 16. у" + 25у %3D— scc (50)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,