2. Use the methods of Laplace transforms to solve the initial value problem y" – yr...
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
10. Solve the initial value problem using Laplace transforms: y'+6y = 8 sin(2t), y(0) = 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, 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
solve the initial value problem. Aft) Use the method of Laplace transforms and the accompanying proof results y"+ @y' +8y=f(t): y(O)=0. y' (O)=0 Here,f(t) is the periodic function defined in the graph to the right. Q Click the icon to review the results of a proof. Square wave Choose the correct answer to the initial value problem below. y(t)= (1-e-232 3 •B. y(t)= (1-e-2t-4n)Puſt - 4n) n=0 • C. y(t)= (-1) (1 - e -2(1-21) jult - 2n) 0 3...
Solve the initial value problem below using the method of Laplace transforms. y" - y = 4t - 10 e + y(0)= 0, y'(O) = 13 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms y(t) = (Type an exact answer in terms of e.)
Solve the initial value problem below using the method of Laplace transforms. y" - 2y' - 3y = 0, y(0) = -1, y' (O) = 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms y(t) = 1 (Type an exact answer in terms of e.)
Solve the initial value problem below using the method of Laplace transforms. y"' + y' - 20y = 0, y(0) = -1, y'(0) = 32 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = (Type an exact answer in terms of e.)
15) 5. Use Laplace transforms to solve the initial value problem y" + y = g(t), y'(0) = 0, y(0) = 0, where 0 St< 10, 10 t 20, 0, g(t) = (t-10), 1, t < 20, and describe the qualitative behavior of the solution fort 20
(10 pts) Use Laplace Transforms to solve the initial value problem y" - 6y +9y = t?e3 y(0) = 0,(0) = 0.
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' + 3y = 45 e 21, y(0) = -6, y'(0) = 21 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =