Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: using con |' 1 P+ (1)

A:

Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

A:

Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: Find the Laplace transform of sinh3 4t

A:

Q: npute the Fourier transform of 2e33rt/2sinc(t/3 – 4)

A:

Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

A: Here, gt=-e3jtft

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: Compute the Fourier transform of the Heaviside function

A:

Q: Solve for the Laplace transform cosh2t

A: