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6. (5x*y+ 4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 dx + (4xy³ + 5x¯2y+) dy = 0 8. (2xy? + y + 2xy cos x?) dx + (2 sin x² + 3x²y + 2x) dy = 0 9. y" – 2y' – 3y = -t – 3e-2t 10. y" – y' – 6y = 2e¬t – t |

6. (5x*y+ 4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 dx + (4xy³ + 5x¯2y+) dy = 0 8. (2xy? + y + 2xy cos x?) dx + (2 sin x² + 3x²y + 2x) dy = 0 9. y" – 2y' – 3y = -t – 3e-2t 10. y" – y' – 6y = 2e¬t – t |

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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Do number n iff n ≡ 5 (mod 4). Find the general solution of the following differential equations.
6. (5x*y+4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 da + (4xy³ + 5x-?y+) dy = 0 8. (2xy? + y + 2xy cos x?) dx + (2 sin x² + 3x²y + 2x) dy = 0 9. y" — 2у/ — Зу — —t — Зе-2 10. y" — у — 6у — 2е-t— t – t |
Transcribed Image Text:6. (5x*y+4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 da + (4xy³ + 5x-?y+) dy = 0 8. (2xy? + y + 2xy cos x?) dx + (2 sin x² + 3x²y + 2x) dy = 0 9. y" — 2у/ — Зу — —t — Зе-2 10. y" — у — 6у — 2е-t— t – t |
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