y" - 3y' =f(t), y(0) = 1, y'(0) - 1 %3D 8 Given L{f(t)}= S-2 2 S+1

Q: Exercise II Use the method Laplace transform to solve the following. (a) = 1₂-1₁ +1₁ 2²₂2 = 1₂.

A:

Q: 글 sin (26) + 좋cos (3t) CoS

A:

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: Find the Laplace transform of (te-2cost)

A: Use property of Laplace transform

Q: F(s) = 8 $³-3s²-4s 00

A:

Q: tind Laplace Transform for The funcfion

A: Laplace transforms are usually used for changing domains of the variable. For example if initially…

Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

A:

Q: Evaluate the following: L-1{ (5s - 2) / (s2 (s + 2)(s - 1)) } ^this is inverse laplace…

A:

Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

A:

Q: How is the Laplace Transform defined? What is its notation?

A: Laplace transform of the function f(t) is defined by   ∫0∞f(t)e-stdt