(f) y +2y' +10y = e"H(t- 1), y(0) = -1,y'(0) = 0(involve partial fraction, completing the square, first shift theorem and second shift theorem;Answer: y(1) = (1-1)-e(1-1) cos(31 -3)+sin (31-3) -e" cos31 -sin 31)31313

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Answered: (f) y +2y +10y=eH(t-1), y(0)=-1, y'(0)…

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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(f) y +2y +10y=eH(t-1), y(0)=-1, y'(0) = 0 (involve partial fraction, completing the square, first shift theorem and second shift theorem; Answer: y(1)=(1-1)-(1-1) cos(31-3)+sin (31-3) ]-e* cos 31 - e* sin 31 13 13 3