2 (e²t-e-2) ² 32 s(s² + 16) Option 4 32 s(s² - 16) Option 1

Q: 2S-1 s²-6s+187 L-¹ {

A:

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: Using the definition, determine the Laplace transform for f(t) = t .

A: I have used the definition of Laplace transformation and calculated the integration

Q: 5- Fit)= b Uct-a) -2b4lt-29) + bu(t-34) %3D Laplace transform

A: The detailed solution is as follows below:

Q: t' Find L 10e-5t sin - 2.

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Check that the Fourier transform of: is g(t) f(w) = { 0 = sin at t -a<w<a rest

A:

Q: If x=t-4, find L[(xe¯x)]

A:

Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

A:

Q: ėt, Cost Cos 2t

A:

Q: transform Find the Laplace [(+-1)u(t-1)-[(+-1) (+-2) U

A:

Q: Fis)-S-65-15 -359

A: Solution is given below:

Q: determine the laplace transform

A: Given,          f(t)=3sin(bt)cosh(bt)

Q: Fourier transform Laplace transform O True O False

A: We have to state true or false The Fourier Transform is particular Laplace transform.

Q: Find L. T. for each of the following functions: (t-4)²u(t-4), (t-3)e-2(t-3) sin 4(t-3)u(t-3).

A:

Q: L[sin(3t - 4n)]

A:

Q: Find the inverse Laplace transform of H(s) -6e-2s s2 – 2s

A:

Q: _-_-7/57 = 1778 ++ (5)) pust

A:

Q: Solve the Laplace transform of: 4 sinh 3t + 3 cosh 3t

A: Introduction: The Laplace transformation of sinh(at) and cosh(at) is given by,…

Q: Laplace transform of ramp function f(t)-DAt is

A: Given f(t)=At

Q: Using Laplace transform to Sálce differen tral equation of the form fCS) - 82+3st1

A: By the method of partial fraction we can solved the problem

Q: Laplace transformation f(t) = e ^ 2t cos2t

A: Laplace transformation f(t) = e ^ 2t cos2t

Q: How the Laplace transform method is applied to a higher dimensional PDE, illustrate with example.…

A: We have Laplace transform method is applied to a higher (Two) dimensionalPDE with example.

Q: 1- cos t Find the Laplace transform of

A:

Q: erform the Laplace Transform Show your Solution 2e-5t sin 10t + 6e-5t cos 10t

A:

Q: Deduce the Fourier transform of -It g(t) = (1+|t|)e-l

A: Given that,  The function is- gt=1+te-t Since, The Fourier transform is defined as Gw=∫-∞∞gte-iwtdt…

Q: laplace transform

A:

Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: HCt-2) Cosh(6(t-2))est ?

A: Given: Ht-2cosh 6t-2e8t

Q: 3. y + 5y + 4y = 0, y(0) = 0, y(0) = 1

A:

Q: 2. f(t) = (t + 2)² et %3D

A: We need to find Laplace Transform of , f(t) = t + 22et We know Laplace Transform is given by , Lf(t)…

Q: estion * he Laplace transform of f (t) = t2 U(t - 3) is: F(s) = e -35 F(s) = e +.

A: Laplace Transform

Q: Determine the Laplace Transform of the function and evaluate f(2i)

A:

Q: - FCS) いは %3D then-L (t" fra) fess %3D

A:

Q: 10s¯ + 8s + 29 inverse laplace ( (2s 3s + 7)- -

A: We have to find the partial fraction first.

Q: TT ㅠ (S+T) 2 6) L-¹ {

A: L-1πs+π2 To Do:We have to evaluate the inverse Laplace transform.

Q: -T: TR TR be ormation depined ) =(x+Qy= メ+2y-Zッコメ ec) Rang(T) the

A: Given Linear Transformation:  Tx,y,z=z+2y-z,2x+3y+z,4x+7y-z For kernel we solve homogenous system of…