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III. Solve each of the following IVPs using Laplace Transforms 1, y'+2y = 4-u2(t), y(0) =...
Solve the following IVPs using Laplace Transform: 4) y” + 3 y' + 2y = u(t – 4); y(0) = y'(0) = 0
4. Solve the following differential equation by using Laplace Transforms. Y" + 2y' +y = 0, y(0) = 0, y'(0) = 1
Solve the following IVPs using Laplace Transform: 3) y" + 4y' + 4y = t4e-2t; y(0) = 1, y'(0) = 2
Using Laplace transforms, solve the initial value problem y' = 2y + 3e-t, y(0) = 4, where y' = Note: to check your work, this equation is linear so it is possible to solve using integrating factors also. 17 Marks) Y
Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
Problem 5: Solve the initial valuc problem using Laplace transforms "+3'+2y g(t), with initial conditions y(0) 2 and y (0)-1 were (2, for 1<t 2 g(t) - 0, for 0<t<1 and t >2
Solve the following IVPs using Laplace Transform: 5) y” + y = (t – 2) uſt – 2); y(0) = y'(0) = 0
Solve the initial value problem below using the method of Laplace transforms. y" - 2y' - 3y = 0, y(0) = -1, y' (O) = 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms y(t) = 1 (Type an exact answer in terms of e.)
(a),(c),(d) Problems 18 Solve the following ODEs using Laplace transforms: (a) + 23(t) _ у(t) _ 2y(t)' 0 given y(0) y(0) 0 and у(0) (b) y(t) + 43(t) + 4y(t)-v-t given y(0)-У(0) -0 (c) j;(t)-2ý(t) + y(t)--e2t given y(0) ,(0) -1 (d) a)+2) y) 3e-given y(0) 4,(0) 2 (e) y(t) + 2ý(t) + 2y(1) 5 sin t given y(0)-У(0)-: 0 (f) y(t) + 6)() + 9y(t) -121-e_3r given y(0) у(0) 0 6 Problems 18 Solve the following ODEs using Laplace...
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1