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1. Solve the following initial value problem using the Laplace Transform Method. y" + 4y + 4y = e 2t; where y(0) = 0 and y'(0) = 4

1. Solve the following initial value problem using the Laplace Transform Method. y" + 4y + 4y = e 2t; where y(0) = 0 and y'(0) = 4

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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Can you solve me those 4 questions?

1. Solve the following initial value problem using the Laplace Transform Method. y" + 4y + 4y = e ²t; where y(0) = 0 and y'(0) = 4 2. Solve the following initial value problem using the Laplace Transform Method. y" - y2y = 0; where y(0)=-2 and y'(0) = 5 3. Solve the following initial value problem using the Laplace Transform Method. y" + 6y + 5y = 12e¹; where y(0) = -1 and y'(0) = 7 4. Solve the following initial value problem using the Laplace Transform Method. y' + 4y = 4t² - 4t+10; where y(0) = 0
Transcribed Image Text:1. Solve the following initial value problem using the Laplace Transform Method. y" + 4y + 4y = e ²t; where y(0) = 0 and y'(0) = 4 2. Solve the following initial value problem using the Laplace Transform Method. y" - y2y = 0; where y(0)=-2 and y'(0) = 5 3. Solve the following initial value problem using the Laplace Transform Method. y" + 6y + 5y = 12e¹; where y(0) = -1 and y'(0) = 7 4. Solve the following initial value problem using the Laplace Transform Method. y' + 4y = 4t² - 4t+10; where y(0) = 0
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Question 4 too please.

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I need quesitons 2 and 4 to be done please. Those practice questions will help me for my final exam next week. I need to see how those are being done. Thank you!

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