x(t) = (3 + e6t)²

Q: f(t) = e cos2t dt

A: Using properties of Laplace transform we solve the given problem as follows :

Q: What is the initial value of f(t) if its Laplace transform is

A:

Q: f(t) = 3e " cosh (In 21)

A:

Q: Find the Laplace transform for 1) (a) f(t) = t cosh 2t. (b) f(t) = e-4 cos 2t.

A:

Q: x(t) = t³ + 5t – 2 %3D

A:

Q: e-atu(t)

A:

Q: 8. x(t) = e2'(t3 + 3t) %3D

A: 8 Given function is xt=e2tt3+3t. We have to find the Laplace transform of xt=e2tt3+3t. Now,…

Q: Find the Laplace transform of 1. f(t) = [1 − u₂n(t)](2 sin t - sin 2t) - 2

A: Properties of the Laplace transform Laf(t)+bg(t)=aF(s)+bG(s)Lsinat=as2+a2Luc(t)sinat=e-css2+a2

Q: Find the Laplace transform of f (t) = cos²(3t).

A:

Q: 5. x(t) = 5 – 2t

A: Given function is x(t) = 5 - 2t

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

A:

Q: 5. Find the inverse Laplace transform of the function as +b H(s) = (s – a)² + B²' -

A:

Q: Find the Laplace Transform 4.f(t) = (1 + te-t)

A:

Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]²

A:

Q: B: The Laplace transform of the; f(t) = e-t.sinh 3t

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

A:

Q: Find the Laplace transform of (t2 + 1)2.

A: we use the formula £(t^n)=n!/Sn+1. See 2nd step.

Q: 2. x(t) = e5t + cos 3t %3D

A:

Q: 6. Solve for the Laplace transform of f(t) = t^2 using the long method

A: Given that: f(t)=t2

Q: Find the Laplace transform of u2(t)cos(t − 2)

A: This is laplace transform shift problem

Q: Find the LaPlace transform for the periodic function. 1. 2 3 4. 3.

A: Consider the given figure. Given that function is periodic function. We have to find the Laplace…

Q: Derive the laplace transform for f(t)= 3 e-St

A:

Q: Solve the Laplace transform of (1+e-t)2

A:

Q: Compute for the inverse Laplace transform of Y (s) = (s+2)³ * 3 e-2t+2 e-2tt e-2442

A:

Q: Find the Laplace transform of f(t) = (t² + 1)²

A: Use Laplace table.

Q: f(t)=e'(4 e2" + 5)?.

A:

Q: Find the Laplace Transform of (t2 +4t + 2)et

A:

Q: Find the Laplace transform of h (t) = 1.5 sin (3t – ;)

A:

Q: Find the laplace transform of f(t)=t^n by definition.

A:

Q: find the laplace transform of the 1VP: y"'-4y=" e^3+t, y=0=y'(0)=y"(0)=0

A:

Q: -2 20(x+2y?

A:

Q: Find the Laplace Transform of: e-2t sin2t + e3tt2 3t +2

A:

Q: find the Laplace transform of g(t)= (1-e^t)/t

A:

Q: Q1/ Find the Laplace transform of 1- f (t) = t² e cos 3t -2 x

A:

Q: Find the Laplace transform of a) f(t) = 3e¬2t + 2 cos(t) – 5t3/2

A:

Q: Determine the Laplace transform of the function f(t) = (t + 2)².

A: We need to determine the Laplace transform of the function: ft=t+22.

Q: Find the Laplace transform of L{t^2cost}

A: Laplace transform of the form L(tkf(t))=(-1)kdkdskLf(t) Here, k=2, f(t)=cost From the identity,…

Q: 2. Find the laplace of the f(t) = t2 by using the laplace transform equation

A:

Q: Find the Laplace transform of e-2t(sinh(2t))2.

A:

Q: Find the laplace transform of f(t) = e^t3

A:

Q: Find the Laplace transform of f(t) = e='(t² + 3t + 4)

A:

Q: f (t) = e2t V1 + cos 4x %3D

A:

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: Find the Laplace transform for e¹t (t² + 3t+5)

A: Given function is e4tt2+3t+5. To find: Laplace transform of the given function. Formula used: If…

Q: 2. Solve for the Laplace transform of f(t) = 5 using the long method

A: A detailed solution is given below

Q: Find the Laplace transform of t + 2t -4

A:

Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Q: Find the inverse Laplace transform of F(s) = e^−3s / s^2 + 1

A: If then Where H(t) is the Heaviside unit step function.

Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

A: