Solve Utilizing Laplace Transformations: 3y" + 3y' + 6y = 3e^(-t) * sin2t with initial conditions...
5. Use the Laplace transform to solve the following initial value problem: y" - 6y' +9y = 3e-21, y(0) = 1, y'(0) = -1.
13. Use the Laplace transform to solve the initial value problem: (&pts) y" - 6y' + 5y = 3e, y(0) = 2, 7(0) = 3
For the following problems solve the IVP using Laplace Method - be careful of initial conditions and coefficients which change in each problem: a. y" + 5y' + 6y = 5e-5t ; y'(0) = 0, y(0) = 0 b. y' + 6y = t ; y(0) = 0
Solve the following differential equation with given initial conditions using the Laplace transform. y" + 5y' + 6y = ut - 1) - 5(t - 2) with y(0) -2 and y'(0) = 5. 1 AB I
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =
5. (2 pts) y + 4y=++ + 3e + sin2t. In Problem 6, use the method of reduction of order to find a second solution of the given differential equation. 6. [2 pts) (t-1)’y" +5(t-1)ý + 3y = 0; 1>1, y(t) =
Use Laplace transformations to solve the following ODE for (t): ä(t) + 2r(t) = u(t) + 3u(t) Assume: u(t) = e- and initial conditions 2(0) = 1, +(0) = 0, u(0) = 0,
9. Solve the initial value problem using the Laplace transform y" + 3y = f(t), y(0) = 0, y(0) = 1, where f(t) = { ( 1 home s 2, if 0 <t<5 1, if t > 5 (6
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y' - 16y = 0 y(0) = 3, y(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)). find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(S) = Y(s) = A. where a <b Now by...
(10 pts) Use Laplace Transforms to solve the initial value problem y" - 6y +9y = t?e3 y(0) = 0,(0) = 0.