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  • Pregunta: In Exercises 1-31 use the Laplace transform to solve the initial value problem. 1. y' + 3y + 2y = e', y(0) = 1, 7(0) = -6 2. y' - y' - 6y = 2, y(0) = 1, 7(0) = 0 3. y' + y - 2y = 2e3t, y(0) = -1, 7(0) = 4 ' 4. y" – 4y = 2e3t, y(0) = 1, y(0) = -1 5. y" + y' - 2y = e3t, y(0) = 1, y(0) = -1 6. y" + 3y + 2y = 6e', y(0) = 1, y'(0) = -1 7. y" + y = sin 2t, y(0) =

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In Exercises 1-31 use the Laplace transform to solve the initial value problem. 1. y' + 3y + 2y = e', y(0) = 1, 7(0) = -6 2. y' - y' - 6y = 2, y(0) = 1, 7(0) = 0 3. y' + y - 2y = 2e3t, y(0) = -1, 7(0) = 4 ' 4. y" – 4y = 2e3t, y(0) = 1, y(0) = -1 5. y" + y' - 2y = e3t, y(0) = 1, y(0) = -1 6. y" + 3y + 2y = 6e', y(0) = 1, y'(0) = -1 7. y" + y = sin 2t, y(0) = 0, y(0) = 1 8. y" - 3y + 2y = 2e3t, y(0) = 1, y (0) = -1 9. y' - 3y + 2y = et, y(0) = 1, 7(0) = -2 10. Y" - 3y + 2y = e3t, y(0) = -1, y(0) y y'(0) = -4 11. " + 3y + 2y = 2e', y(0) = 0, y(0) = -1 12. ' + y' - 2y = -4, y(0) = 2, y(0) = 3 13. y' + 4y = 4, y(0) = 0, 7(0) = 1 14. y' - y - y = 2, y(0) = 1, y(0) = 0 15. y' + 3y + 2y = e, y(0) = 0, 7(0) = 1 16. y" - y = 1, y(0) = 1, y'(0) = 0 17. y' + 4y = 3 sint, y(0) = 1, 7(0) = -1 1 18. y' + y' = 2e3t, y(0) = -1, 7(0) = 4 --- = - =