Use the Laplace transform to solve the given initial-value problem.
y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1
y(t) =
Use the Laplace transform to solve the given initial-value problem. y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1 y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1y(t) =
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
5. Use Laplace Transform to solve the initial value problem: y" + 6y' +9y = 4e, y(0) = 0, y'(0) = -1.
Tutorial Exercise Use the Laplace transform to solve the given initial-value problem. y' + 5y = et (0) = 2 Step 1 To use the Laplace transform to solve the given initial value problem, we first take the transform of each member of the differential equation + 6y et The strategy is that the new equation can be solved for ty) algebraically. Once solved, transforming back to an equation for gives the solution we need to the original differential equation....
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
ZILLDIFFEQMODAP11 7.5.007.MI. Use the Laplace transform to solve the given initial-value problem. y" + 5y' = δ(t - 1), y(0) = 0, y'(0) = 1 y(t) = _______
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.
ZILLDIFFEQMODAP11 7.2.037.MI. Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2 y(t) = _______
Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 29y = δ(t-a) + δ(t-3x), y(0) = 1, y"(0) = 0 y(t) = Need Help? Read ItTalik to a Tutor Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 29y = δ(t-a) + δ(t-3x), y(0) = 1, y"(0) = 0 y(t) = Need Help? Read ItTalik to a Tutor