Find the Laplace transform of f(t) = ( 2t-5t²)³

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

A:

Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

A:

Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

A:

Q: Use the Laplace transform to solve the difference equation 3x(t) — 4x(t − 1) = 1, x(t)=0 for t < 0.

A: Given: The difference equation, 3xt-4xt-1=1, xt=0 for t&lt;0   To solve: The given difference…

Q: Find the Laplace transform of f(t) = cos(2t) * u

A:

Q: 2t-3

A:

Q: Solve for the laplace transform x(t) = (t+3) sin(t-6)

A:

Q: xct) = 3(t/4) e

A:

Q: Find the Laplace Transform of L{e2t - sin(4t)}

A:

Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

A:

Q: Find Laplace transform for the function f(t) = 3 sin 4t .

A:

Q: Solve the Laplace Transform f(x) = 2/x

A:

Q: Evaluate the Laplace transform of f(1) = { ; 0≤t <% cost ; t≥% 0

A:

Q: f(t) = tg'(t)

A: The solution is given as

Q: What is the Laplace transform of x(t) = e-tcos(pi)t?

A: To find the Laplace transform of ,  x(t) = e-tcos πt Here the proof for standard form has been…

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: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

A:

Q: Use the table of Laplace transforms to find the Laplace transform of f(t) = 3t° – 6 cosh(11t) %3D…

A: The given function is f(t)=3t6-6cosh11t       Formula Used-   ℒtn=n!sn+1 ℒcosh at=ss2-a2

Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: Find the Laplace transforms of the functions. f(t) = Cos^2(2t)

A: Let ft=cos22tTo find: Laplace transform of the function ft.

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Find Laplace transform f(t) = 1- cost 1-cos3t f(t) = te sin at -3t

A:

Q: Find the Laplace Transform F(t)=te^t*t^2

A:

Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)