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1. y +2y = x?y³ %3D

1. y +2y = x?y³ %3D

Advanced Engineering Mathematics
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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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)
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