Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin...
Use the Laplace transform to solve the given initial-value problem. y'' + y = sqrt2 sin( sqrt2 (t)), y(0) = 5, y'(0) = 0 y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' + y = 2 sin(2t), y(0) = 11, y'(0) = 0y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' + y = 2 sin(2t), y(0) = 11, y'(0) = 0y(t) =
Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 25y = f(t), y(0) = 0, y (O) = 1, where RE) = {cos(5€), Ostan (Σπ rce) = f sin(51) + (t-1) -sin 5(t-T) 5 Jault- TE ) X
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
Use the Laplace transform to solve the given initial value problem. y" – y' – 12y = 0; y(0) = 1, y'(0) = -1 (t) =
1. (5 points) Use a Laplace transform to solve the initial value problem: y' + 2y + y = 21 +3, y(0) = 1,5 (0) = 0. 2. (5 points) Use a Laplace transform to solve the initial value problem: y + y = f(t), y(0) = 1, here f(0) = 2 sin(t) if 0 Str and f(0) = 0 otherwise.
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, 0) = 0, where - (1, osta 1/2 f(0) = sin(t), t2/2 . 70 y() = 1 (4- 7 )sin(e- 1 + cost- -cos( - ) Dale X Need Help? Read Watch Talk to a Tutor Submit Answer
Use the Laplace transform to solve the given initial value problem. y(4) - 81y=0; y0 = 20, y' (O) = 51, y" (0) = 126, y" (0) = 243 Enclose arguments of functions in parentheses. For example, sin (2x). y(t) QC
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =