3. f (t) = te2t sin t

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

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s)…

Q: (a) f(t) = cosh² t (b) f(t) = 2 sinh? 2t 2

A: To find the Laplace transforms of the given functions we will use the following table of Laplace…

Q: L-1{ 1 (s2+1)(s2+4s+8)

A:

Q: 1 F(s) = (s - 2)(s - 4)(s -8)

A: Given the expression of the inverse Laplace expression is: F(s)=1(s-2)(s-4)(s-8) Use partial…

Q: 25 s3(s2 +4s+5)

A:

Q: a k 2 + k² S 2 + k² k

A:

Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: f(t) = e-2tsin²tcos²t

A:

Q: f(t) = te¯3t cos² 2t -3t cos 2t

A:

Q: sin 3t 4. f (t) t

A:

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: F(s) = -5s (s² + 1)²

A:

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

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

A:

Q: y(^) – y = sin ht,y(0) = y'(0) = y"(0) = 0,y"'(0) = 1 %3D %3D

A: The given equation is, y4-y=sinh t                  ............1 The given initial condition is,…

Q: 6. et+7 dt 7. r'e-)* dt 8. I. 4e-" sin 6t dt

A:

Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: f(t) = t²sinh3t

A:

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…