SOLVE #3 AND #4 PLEASE Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) +...
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1. Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
Use the Laplace transform to solve the IVP y"(t) + 6y'(t) + 9y(t) = e2t y(0) = 0 y'(0) 1
(4) Consider the IVP 9y" + 6y' +2y = 0, y(37) = 0, y/(3x) = }: a) Determine the roots of the characteristic equation. b) Obtain the general solution as linear combination of real-valued solutions. c) Impose the initial conditions and solve the initial value problem.
13) (15 pts) Solve the given IVP. y" + 2y' + 2y = 10 sin(2t), y(0) = 1, y'(0) = 0
1) Solve the following ODE with IVP 2y" + 6y' - 8y = 0 y(0) = 4 y'(0) = -1
Solve 6y" - 6y' + 9y = t^2e^3t .... y(0)=0 & y'(0)=0 An initial Value Problem Sove: y'-6y +9y=t&t, y(O) = 0 , Y'()=0 Please Solve this IVP.
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,...
Use Laplace transform to solve the initial value problem [Answer: У 2tet sin(2t) + 4e* cos(2t) +3t2-21
Solve the IVP using laplace transformation y”+3y=(t-2)u(t-1) y(0)=-1 y’(0)=2 Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1 Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Page 4 IV. Use the Laplace transform to solve the IVP y' - 2y + y = f(t), y(0) = 1, v/(0) = 1, where (10) 0, t <3 f(t) = t-3, 3 You may use the partial fraction decomposition 16–25+1) 5+(9–1 = (-) + ? + - , but you need to show all the steps needed to arrive to the expression - 022-28+1) in order to receive credit.