Solve the following initial value problem using the Laplace transform method: y' + 8y = -3,...
o use Laplace Transform method to solve Initial Value Problem y" - 8y' & 1by = t² est y (8) = 1 y(0)=4
(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
7. Solve the initial value problem below using the method of Laplace Transform method y" + 4y = 16t2 – 8t + 28, y(0) = 0, y'(0) = 10
Solve the following initial value problem using the method of Laplace transform. y" + 2y' +10y = f(t); y(0)= 1, y'(0) = 0, where, f(0) = 10, Ost<10, 20, 10<t.
Problem 3 Solve the initial value problems using Laplace Transforms (a) y' + 8y = t2 y(0) = -1 (b) y" – 2y' – 3y = e4t y(0) = 1, y'(0) = -1
[15] 9. By using the Laplace transform method solve the initial value problem Y" + 2y + y = sint, y(0) = 0, y(0) = 0.
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"' + 8y = 42 - 3, y(0) = 0, y'(0) = -5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) =
So 0<t<5 Using the Laplace transform, solve the initial value problem y' + y = 3 t5 y'(0) = 0. 9
[15] 9. By using the Laplace transform method solve the initial value problem y" - 2y + y = -2 y(0) = 0, 7(0) = 1.
[15] 9. By using the Laplace transform method solve the initial value problem -2t y" – 2y' + y = e 7 y(0) = 0, y'(0) = 1.