use the Laplace transform to solve the given initial
value problem:
Only problem 4,8 and 12 please
use the Laplace transform to solve the given initial value problem: Only problem 4,8 and 12...
use the Laplace transform to solve the given initial value problem: Questions 8 and 12 8. Y" – 2y' + 2y = cos t; y(0) = 1, y'(0) = 0 9. y" – 2y' + 2y = e-t; y(0) = 0, y'(0) = 1 »Answer Solution 10. y" + 2y' + y = 18e -*; y(0) = 7, y'(0) =- 2 11. y(4) – 4y" + 6y" – 4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0)...
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.
Please show work Question 14 5 pts Use the Laplace transform to solve the given initial-value problem. y" + 4y=f(t – 2), y(0) = 1, y (0) = 0 Oy(t) = cos(2t) + U (t – 2) · sin[2(t – 2)] Oy(t) = {U (t – 2) sin(2t) Oy(t) = {U (t – 2) sin(2(t – 2)] Oy(t) = cos(2t) + U (t – 2) sin(2t)
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
problem 20 18-27 IVPs, SOME WITH DISCONTINUoUS INPUT Using the Laplace transform and showing the details, solve 18. 4y"-12y' + 9y-0, y(0)-2/3, y,(0) | 20. у', + IOv, + 24y 14412, y(0) 19/12. y (0)5 th Ze 22. y" +3y' + 2-4t İf 0 < t < 1 and 8 if t > 1; y(0) = 0, y'(0) = 0 23. y" + y,-2y-3 sin t-cos t, (0 < t < 2π), and 3 3 sin 2t - cos 2t,...
1 point) Consider the initial value problem dy 29y--9e cos( dt dt2 dt Write down the Laplace transform of the left-hand side of the equation given the initial conditions Y(sA2-10s+29)+3s-24 Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation -9(s-5(S-5)A2+9) Your answer should be a function of s only. Next equate your last two answers and solve...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' + 2y = 2t4, y(0) = 0, y'(0) = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -7y' + 12y = 3t e 3t, y(0) = 4, y'(0) = -1 Click...
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y' + 5y = 5t? -9, y(0) = 0, y'(0) = -3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 169=122 3.sin (1960) - cos (15) -
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