o use Laplace Transform method to solve Initial Value Problem y" - 8y' & 1by =...
(1 point) Use the Laplace transform to solve the following initial value problem: y! -8y + 20y = 0 y(O) = 0, y (0) = 2 First, using Y for the Laplace transform of y(t), i.e., Y = {y(0), find the equation you get by taking the Laplace transform of the differential equation 2/(s(2)-8s+20) =0 Now solve for Y(s) = 1/[(9-4) (2)+(2)^(2)) By completing the square in the denominator and inverting the transform, find y() = (4t)sint
Solve the following initial value problem using the Laplace transform method: y' + 8y = -3, y(0) = -5.
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.
8. Use the Laplace transform to solve the initial-value problem ſv" + y" + y = 8(t - 21) 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" + 8y = 2 - 6, y(0) = 0, y' (O) = -2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(S) =
7.(9pts) Solve the initial value problem by the method of Laplace transform: y"+ y = u(t - 3), y(O) = 0, y'(0) = 1.
Use the Laplace transform to solve the given initial-value problem. y" + y = 8(6 - ) + 8(t-?M), (O) = 0, 7(0) = 0 -cos(t) – Jault --) + ( -cos (1) x )ult- y(t) 7 2 7
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'"+8y 22 -2, y(0)-0, y (0)--9
(4 points) Use the Laplace transform to solve the following initial value problem: y" – 2y + 5y = 0 y(0) = 0, y'(0) = 8 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}| find the equation you get by taking the Laplace transform of the differential equation = 01 Now solve for Y(3) By completing the square in the denominator and inverting the transform, find g(t) =
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =