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 "/>
Extracted 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 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
Extracted 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