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Use Laplace transform to solve the following initial-value problem. У" - 2у +5у%3D1+t;y(0)3 0;y' (0)%3 4

Use Laplace transform to solve the following initial-value problem. У" - 2у +5у%3D1+t;y(0)3 0;y' (0)%3 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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QUESTION 6 1 p Use Laplace transform to solve the following initial-value problem. y" – 2y' + 5y=1+t;y(0) = 0;y'(0) =4 21 e'sin(2t) 10 21 E. Non of O F. 7/25 + t/5-e'cos(20) +e'sin(20) 21 O A. e'cos(2t) + 25 O B. 7/2 + t/5 -e'cos(2t) + e'sin(2t) O C. 7/25 + t/5) 10 D. 7/25 + t/5- 25 e'cos(2t) + -e'sin(2t) 10 25 the above.
Transcribed Image Text:QUESTION 6 1 p Use Laplace transform to solve the following initial-value problem. y" – 2y' + 5y=1+t;y(0) = 0;y'(0) =4 21 e'sin(2t) 10 21 E. Non of O F. 7/25 + t/5-e'cos(20) +e'sin(20) 21 O A. e'cos(2t) + 25 O B. 7/2 + t/5 -e'cos(2t) + e'sin(2t) O C. 7/25 + t/5) 10 D. 7/25 + t/5- 25 e'cos(2t) + -e'sin(2t) 10 25 the above.
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