6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using Laplace Transform. O A. y(t) = 2 - 4e^t + 2e^(2t) O B. y(t) = 2 + 4e*t + 2e^(2t) O C. y(t) = 2 - 4e^t - 2e^(2t) O D. y(t) = 2 - 4e^t - 2e^(2t)
6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using Laplace Transform. O A. y(t) = 2 - 4e^t + 2e^(2t) O B. y(t) = 2 + 4e*t + 2e^(2t) O C. y(t) = 2 - 4e^t - 2e^(2t) O D. y(t) = 2 - 4e^t - 2e^(2t)
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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Solve no.06 and show a clear and organized solution. Thanks!!!
![6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4;
y(0) =y'(0) = 0 using Laplace Transform.
O A. y(t) = 2 - 4e^t + 2e^(2t)
O B. y(t) = 2 + 4e*t + 2e^(2t)
O C. y(t) = 2 - 4e^t - 2e^(2t)
O D. y(t) = 2 - 4e^t - 2e^(2t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9133212-00ea-476d-bc97-2e1ba7a17689%2F87f4b7d2-8a82-46f3-b36c-2b4b827ce87c%2F7f9ho4j_processed.png&w=3840&q=75)
Transcribed Image Text:6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4;
y(0) =y'(0) = 0 using Laplace Transform.
O A. y(t) = 2 - 4e^t + 2e^(2t)
O B. y(t) = 2 + 4e*t + 2e^(2t)
O C. y(t) = 2 - 4e^t - 2e^(2t)
O D. y(t) = 2 - 4e^t - 2e^(2t)
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