Solve for y(t) using Laplace Transformation. [20 Points] y"(t) - y(t) = 0 when y(0) =...
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),
Q4. Laplace Transforms a) (20 points) Solve the differential equation using Laplace transform methods y" + 2y + y = t; with initial conditions y(0) = y(O) = 0 |(s+2) e-*) b) (10 points) Determine L-1 s? +S +1
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1. Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
Solve the following ode using Laplace transform: y' - 5y = f(t); y(0) - 1 t; Ost<1 f(t) = 0; t21
Solve, using Laplace Transforms: Y" + 4y = ui(t) - u3(t), y(0) = 1; y'(O) = 0
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І
Solve using the Laplace Transform methods: y' + y = 2u3(t) y(0) = 4 1.
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t> (1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>
solve using Laplace transforms (f) y"+y=f(t – 37) cos(t), y(0) = 0, y'(0) = 1. (g) y" + 2y = U(t – 7) +38(t – 37/2) – Ut – 27), y(0) = y'(0) = 0.