EXERCISES 4.4

Answers to selected odd-numbered problems begin on page ANS-5.

In Problems 1-26 solve the given differential equation by undeter-mined coefficients.

1. y” + 3y’ + 2y — 6 2. 4y- + 9y — IS 3. y” — lOy’ -I- 25y = 30x + 3 4. y” + – 6y = 2x 5. + y’ + y — x” — 2x 6. y” + 20y — 100r2 26rex 7. y” + 3y = —48x7e3. 8. 4y” — 4y’ — 3y — cos 2x
2. y” — y’ = —3 10.y”+2y’=2x+5 —e 11.1′ y’+Iy— 3 +ex/2 12. y” 16y — 2e4. 13. y” + 4y — 3 sin 2r 14. y” — 4y = (x7 — 3) sin 2x 15. y”+y= 2x sin x 16. y” — Sy’ — 2×1 — 4x’ — x + 6 17. y” 2y’ + 5y — e. cos 2x