Solve the following IVP using the Laplace Transform. Do not leave your answer in terms of...
Solve the following IVP using the Laplace Transform. Do not leave your answer in terms of an integral. y" - y = -k8(t – 4), y(0) = 3, y'(0) = 3, kER, > 0
Need Help with this Laplace transform Solve IVP by the Laplace Transform: y"+y=e2t , given y(0) = 0, y'(0) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t).
Page 4 IV. (10) Use the Laplace transform to solve the IVP y" - 2y + y = f(t), y(0) = 1, 7(0) = 1, where t<3 f(t) = t-3, t3 You may use the partial fraction decomposition 70-28+1) -1,2 = (+*++* - , but you need to show all the steps needed to arrive to the expression (+28+1) in order to receive credit.
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.
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
Use the Laplace Transform to solve the IVP y" - y = 2e t, y(0) = 0, y'(0) = 1
Use the Laplace transform technique to solve the following IVP (no credit will be given if you use another technique). (15 pts) y" – y' – 6y = 0; y(0) = 2, y'(0) = -1
Use the Laplace transform technique to solve the following IVP (no credit will be given if you use another technique). (15 pts) y" - y' - 6y = 0; y(0) = 2, y'(0) = -1
Use the Laplace transform technique to solve the following IVP (no credit will be use another technique). y" - y' - 6y = 0; y(O) = 2, y'(0) = -1
5. Express f(t) using the unit step function an then use the Laplace Transform to solve the given IVP: y' + y = f(t), y(0) = 0, where f(t) = So, ost<1 15, t21