(x' = x- 2y V = 5x – yi x(0) = -1, y(0) = 2. %3D %3D %3D %3D

Q: Find the Laplace transforms of the functions. f(t) = 3t^5/2 - 4t^3

A: Laplace transferom of the function

Q: 2t-3

A:

Q: Solve equation using Laplace transform ÿ + 9y = 8 (t -) |sin(t), y(0) = 0, ý(0) = 0

A: Formulae:  1. Lf(t)δ(t-a)=e-asf(a) 2. Lf''(t)=s2F(s) - sf(0)-f'(0) 3. L-1e-asF(s)=H(t-a)f(t-a),…

Q: 1- cos t Find the Laplace transform of

A:

Q: Use Properties of the Laplace Transform to find £{sin³/}

A: Step 1: Step 2:

Q: t'e5t - e'cos v7t

A: Laplace Transform: The Laplace transform of is a function of a new variable s given by First…

Q: sinudu

A:

Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.