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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
Solve the IVP using laplace transformation
y”+3y=(t-2)u(t-1)
y(0)=-1
y’(0)=2
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
3. Solve the following LTI ODE's using the Laplace transformation (a) +3y 0, y(0) 1, y(0) 2 (b) 3y sin(t), y(0) 0, (0 0 (c) 3y sin(t), y(0) 1, (0) 2 y-Sin(t),
Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
Solve the initial value problem below using the method of Laplace transforms. y''+8y'+15y=594e^(6t) ,y(0)=-4,y'(0)=78
solve the following using laplace transform
dy dt 3y(t) = e4t; y(0) = 0
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2
2) Use Laplace Transforms to solve the initial value problem y/ -3y = -10(1-2) with y(0) = 8/9.
Solve the following initial value problem using the Laplace transform method: y' + 8y = -3, y(0) = -5.
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