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Complete the solution to the following differential equation. +4y+3y=16e' y(0) = 0, y(0) = 1 Applying the Laplace transform in both sides we get 2Y(s) - sy(0) - y' (0) + 4[sY(s) − y(0)] + 3Y(s) = 16. 82Y(s) 1+4sY(s) + 3Y(s) = 8 16 = 8-1 16 8- 1 Y(s)[s2 +48 +3] = 1 +

Complete the solution to the following differential equation. +4y+3y=16e' y(0) = 0, y(0) = 1 Applying the Laplace transform in both sides we get 2Y(s) - sy(0) - y' (0) + 4[sY(s) − y(0)] + 3Y(s) = 16. 82Y(s) 1+4sY(s) + 3Y(s) = 8 16 = 8-1 16 8- 1 Y(s)[s2 +48 +3] = 1 +

Calculus For The Life Sciences
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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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Complete the solution to the following differential equation. y+4y+3y=16e' y(0) = 0, y(0) = 1 Applying the Laplace transform in both sides we get - s2Y(s) sy(0) (0) + 4[sY(s) - y(0)] + 3Y(s) = 16. s2Y(s) 1+4sY(s) + 3Y(s) = = 16 8 8-1 Y(s) [s² +48 +3] = 1 + =... 16 -8
Transcribed Image Text:Complete the solution to the following differential equation. y+4y+3y=16e' y(0) = 0, y(0) = 1 Applying the Laplace transform in both sides we get - s2Y(s) sy(0) (0) + 4[sY(s) - y(0)] + 3Y(s) = 16. s2Y(s) 1+4sY(s) + 3Y(s) = = 16 8 8-1 Y(s) [s² +48 +3] = 1 + =... 16 -8
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