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

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

A:

Q: Solve the Laplace Transform of the equation f(t)= sin3t/t

A:

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: Evaluate the inverse laplace transform: F(s)=4s-2/s^2-6s+18

A:

Q: Use the Laplace transform to solve the difference equation 3x(t) — 4x(t − 1) = 1, x(t)=0 for t < 0.

A: Given: The difference equation, 3xt-4xt-1=1, xt=0 for t&lt;0   To solve: The given difference…

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

A:

Q: h(t)=t^2sin(3t) laplace transform

A: Given function is,                h(t) = t2 sin3t (.)  Some properties of Laplace transform :- (i)…

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: z-transform of the sequence x(n) : =3u(n) is 3z/(z-1) O (z-1)/30 z/(z-3) O

A: We find Z-transform of x(n)=3u(n)

Q: Derive the general formula for the Laplace transform of sin bt.

A:

Q: 글 sin (26) + 좋cos (3t) CoS

A:

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

A:

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: Solve for the Laplace transform of f(t) = 5 using long method. %3D

A:

Q: sinh ot + cos ot

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: Derive the Fourier transform for f(t) = te2t for t>0 and 0 for t<0.

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

A:

Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

A:

Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

A:

Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: By using convolution theorem for Laplace transform, prove that 1 L-1 + x}={erf (2√x) PVp +4

A:

Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

A:

Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

A:

Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Find the Laplace Transform F(t)=te^t*t^2

A:

Q: find

A:

Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

A: