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Goal: Solve the differential equation y- 2y = – 1+ 6t, where y(0) = – 4, using the method of Laplace transforms. 1. Take the Laplace transform of both sides of the above equation. Then, solving for Ly, we get that L[y] = 2. Apply the inverse Laplace transform to your equation from the previous part to get the solution y y(t) to the differential equation: y =

Goal: Solve the differential equation y- 2y = – 1+ 6t, where y(0) = – 4, using the method of Laplace transforms. 1. Take the Laplace transform of both sides of the above equation. Then, solving for Ly, we get that L[y] = 2. Apply the inverse Laplace transform to your equation from the previous part to get the solution y y(t) to the differential equation: y =

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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Goal: Solve the differential equation y- 2y = – 1+ 6t, where y(0) = – 4, using the method of Laplace transforms. 1. Take the Laplace transform of both sides of the above equation. Then, solving for Ly), we get that L[y] = 2. Apply the inverse Laplace transform to your equation from the previous part to get the solution y = y(t) to the differential equation: y =
Transcribed Image Text:Goal: Solve the differential equation y- 2y = – 1+ 6t, where y(0) = – 4, using the method of Laplace transforms. 1. Take the Laplace transform of both sides of the above equation. Then, solving for Ly), we get that L[y] = 2. Apply the inverse Laplace transform to your equation from the previous part to get the solution y = y(t) to the differential equation: y =
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