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Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed, y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0st x/2 Y(t) = 1 TC 1– cos t- t- sin t ela 12

Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed, y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0st x/2 Y(t) = 1 TC 1– cos t- t- sin t ela 12

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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Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0 st</2 f(t) = (sin(t), t> 1/2 y(t) = 1 +(1- cos t- TO sin t- 2 2. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0st< /2 f(t) = (sin(t), t> n/2 y(t) = 1 + u Need Help? Read It Watch It
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0 st</2 f(t) = (sin(t), t> 1/2 y(t) = 1 +(1- cos t- TO sin t- 2 2. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0st< /2 f(t) = (sin(t), t> n/2 y(t) = 1 + u Need Help? Read It Watch It
Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 16y = cos(4t), y(0) = 5, y'(0) = 2 y(t) = 5 cos(4t) + sin (41) + (rsin 41) Need Help? Read It Watch It
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 16y = cos(4t), y(0) = 5, y'(0) = 2 y(t) = 5 cos(4t) + sin (41) + (rsin 41) Need Help? Read It Watch It
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