b) Using Laplace transform, solve theQUESTION 1M & UTMa) By using the Laplace transform, solve the following differential equation5 UTM6 UTM& UTMy" + y = 1 – H (t – 37), y(0) = 0, y'(0) = 1.M UTM& UTNUTMb) Using Laplace transform, solve theTMUTM UTMM& UTMo UTA& UTM & UTMdxa UTM UTMgiven that r(0) = –1 and- y = 1,dy+x = e' – 1,M UTdt& UT& UTM & UTM 5 UTM& UTM & UTM s UT08 UTA& UTM & UTM & UTM& UTN

Answered: Image /qna-images/answer/38e9e104-82f2-4e87-9bac-fa2615f39c9d.jpg

b) Using Laplace transform, solve the system QUESTION 1 M & UTM a) By using the Laplace transform, solve the following differential equation 5 UTM 3 6 UTM 6 UTM y" + y = 1 – H(t – 37), y(0) = 0, y'(0) = 1. 5 UTN M UTM 6 UTM - b) Using Laplace transform, solve the system UTM & UTM 6 UTN M & UTM & UTM & UTM dx - y = 1, UTM & UTM 6 given that x(0) = -1 and dt dy + x = e' – 1, & UT dt M & UTN & UTM & UTM 6 UTM %3D & UTM & UTM s UTo & UTA & UTM & UTM 8 UTM & UTN

b) Using Laplace transform, solve the system QUESTION 1 M & UTM a) By using the Laplace transform, solve the following differential equation 5 UTM 3 6 UTM 6 UTM y" + y = 1 – H(t – 37), y(0) = 0, y'(0) = 1. 5 UTN M UTM 6 UTM - b) Using Laplace transform, solve the system UTM & UTM 6 UTN M & UTM & UTM & UTM dx - y = 1, UTM & UTM 6 given that x(0) = -1 and dt dy + x = e' – 1, & UT dt M & UTN & UTM & UTM 6 UTM %3D & UTM & UTM s UTo & UTA & UTM & UTM 8 UTM & UTN

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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Differential Equations

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