alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

Q: 1 F(s) V5(s+5.5)5.5

A: The solution is given as

Q: y" + 4y' + 4y = 2e, y (0) = 2, y (0) = %3D %3D

A:

Q: Differentiate.  g(t) = t cosect t - cot t

A: To differentiate:      g(t) = t cosect t - cot t We know that --> (cosec x)' = -(cosec x)(cot x)…

Q: 2. F(s): = 3s² +5s-4 S4

A:

Q: Use the table of Laplace transforms to find the following Laplace transforms. Use s as your…

A:

Q: Direction: Determine the Laplace Transform of the functions shown and simplify. 1. 23t? – 4e2t

A: The given function is  f(t)=23t2-4e2t The Laplace transform of a function f(t) is given by…

Q: 6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. A. 3(cos3t +…

A:

Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

A:

Q: f(t) = 6te-3t + te-5t sin5t + t² %|

A:

Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

A:

Q: 0<t<3 için f(()=e'+0.5 ve T = 3

A:

Q: Find the la place transform of the following. Simplify your answer f(+) = sin3t Sinht

A:

Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: date Find laplace transform of if 7. Cos (3¢) if t 7 I

A: Solution: Given function is   f(t)=0                      ,   if   t&lt;π4cos(3t)           ,   if…

Q: Part 2 Find the Laplace transform of the following functions: 1. t-5/2 2. t5/2 sinh 4t

A: We find Laplace transform of t-5/2

Q: 2. Find Fourier sine and cosine transforms of e*.

A:

Q: Apply the theorem of differentiation of transforms to find the Laplace transform of the given…

A:

Q: Find the la place transform of the following. Simplify your answer. f(+) = 2+² e²+ - sin²+

A:

Q: 15. f(t) = e' sin t

A:

Q: Apply properties to evaluate the Laplace transform of cosh bt, where cosh bt = result. ebe te-be 2…

A:

Q: Using the tables write down the transforms of the following functions/ (v) 2 cos? t (vi) e-(eª +…

A: