IVP Use the Laplace Transform to solve the y"+y = f(t) y'ld-o, y(0)=0 where f(t) =...
Use the Laplace Transform to solve the IVP y" - y = 2e t, y(0) = 0, y'(0) = 1
Solve IVP by the Laplace Transform: y" + y = ezt given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y} 3) Solve for y(t). Both of them a) Y (8) 21 + 3 52 +1 $-2 b) y(t) = } (e2t - cost + 3 sin t) 1 3 a) Y (8) 8 g2+1 + $-2 g²+1 b) y(t) = 22 cost + 3 sint None of them
Solve IVP by the Laplace Transform: y" + y = ezt , given y(0) = 0, y'(O) = 1. a) Identify Y(s) = L{y}. 3) Solve for y(t). 8 a) Y (s) = + $2 b) y(t) = } (e2t – cost + 3 sin t) Both of them None of them 3 2+1 +22+1 O a) Y (s) = -2 b) y(t) = e2t - cost + 3 sint
Use the Laplace transform to solve the IVP y"(t) + 6y'(t) + 9y(t) = e2t y(0) = 0 y'(0) 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.
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.
Use the Laplace transform to solve the following initial value problem: y" + 4y = f(t), y(0) = 0, y'(0) = 1 where f(t) = { if 0 <t <a sint if a <t< oo
Use the LaPlace Transform to solve the given IVP. y′′ + 4 y= -10e^−t y(=0) 0,−=y′(0) 4
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).
Use the Laplace transform to solve the given initial-value problem. 0 st<1 t 1 y' y f(t), y(0) 0, where f(t) (4, ae-1 -(1-1) 4 y(t) X Use the Laplace transform to solve the given initial-value problem. 0 st