3. Use Laplace transforms to solve the following initial value problems: (a) 2y + y = 0, y(0) = -3 (b) y" - 4y = 6e³t - 3e-t, y(0) = 1, y'(0) = -1 (c) y - y = 2 cos(5t), y(0) = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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3. Use Laplace transforms to solve the following initial value problems:
(a) 2y + y = 0, y(0) = -3
(b) y" - 4y = 6e³t - 3e-t, y(0) = 1, y'(0) = -1
(c) y - y = 2 cos(5t), y(0) = 0
Transcribed Image Text:3. Use Laplace transforms to solve the following initial value problems: (a) 2y + y = 0, y(0) = -3 (b) y" - 4y = 6e³t - 3e-t, y(0) = 1, y'(0) = -1 (c) y - y = 2 cos(5t), y(0) = 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,