2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

Q: f(t) = e cos2t dt

A: Using properties of Laplace transform we solve the given problem as follows :

Q: Find Laplace transform of x(t)=t (cos)^2 (wt)u(-2t). *

A:

Q: Find the Laplace transform of the following: 1. y" + 2y' + 5y = t cos(5t) - 6, y(0) = 1, y'(0) = -2

A: To find the Laplace transform of the problem.

Q: Find the Laplace transform for 1) (a) f(t) = t cosh 2t. (b) f(t) = e-4 cos 2t.

A:

Q: ÓSTAIN THE LAPLACE TRANSFORM OF THE FF: O ft) = -to COS 2t - t + t Csin 2t - cos at) © gt) 2 オ…

A: Laplace transform

Q: Find the Laplace transform of f (t) = e-t(3 sinh 2t – 5 cosh 2t) 3-5s С. C: 52-2s-4 3-5s А. s2+2s-3…

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Q: Use a Fourier transform to solve the following initial value problem for the free Schrödinger…

A: Given: Let us consider the given ut=iuxx ; ux,0=e-x2

Q: determine the inverse Laplace transform of F.

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Q: 10s3+1 1. F(s) %3D s2+6s+5

A: The inverse Laplace transformation transforms a function in s of a complex variable to a real-valued…

Q: Find the Inverse Laplace transform of F(s) = (s+1)(s²-1)

A: The given function is Fs=1s+1s2-1 OR Fs=1s+1s+1s-1 To find the inverse Laplace transform of the…

Q: Find the Laplace Transform of h(t) =t² sin(2t) 4s2 –3 A H (s) (s²– 4) 3 3s2 – 4 (B) H (s) = (s²+4) 2…

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Q: Determine the Laplace transform of f(t) = e4t u(t – 2) e-2s s-4 -2s s-4 e2s s-4 e2s s+4

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Q: Determine the Laplace transform of f(t) = e-3t sinh (2t) 2 s2 + 6s +5 s2 – 6s+5 s² + 6s+5 s2 – 6s +…

A: Use the following formulas to perform the Laplace transformation.  Leatft=Fs-aLsinhat=as2-a2

Q: f(t) = u(t− 3)(t - 3)e-4t

A: In this question, the concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: Find inverse Laplace transform of the function 7s – 1 F(s) %3D (s + 1)(s + 2)(s - 3) |

A:

Q: Determine the Fourier transform of f(t) = te-2t u(t), where

A: Given ft = te-2tut where ut =0     t<01    t>0 The Fourier transformation is given by Fw…

Q: Find the Laplace Transform of f(t)= e"(2cosh 2t + sinh t). %3D 2s+3 A) f(s) = %3D s2-4s-5 2s-3 f(s)…

A: Le2t2cosh2t+sinhtApply transform rule:  if Lft=Fs then  Leatft=Fs-a.For e2t2cosh2t+sinht:…

Q: ): Let y(t) = x(t)*h(t), where x(t) = e-2tu(t) h(t) = e-4tu(t) Compute the Fourier transform of…

A:

Q: Q1 - Find the inverse Laplace transform of the equation given below. y- 6y + 8y 4t2 y(0) = 1,y(0) =…

A: Suppose that f, f', f",..........,f(n-1) are all continuous functions and f(n) is a piecewise…

Q: 3. Use a Fourier transform to solve the equation d'y - y? = 0 dx2 with initial conditions y(0) = yo…

A: Given: d2ydx2-y2=0 To find: Solve the equation by using Fourier transform.

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

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Q: 2. x(t) = e5t + cos 3t %3D

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Q: Find the laplace transform of t sin (t) A. 2s/(s2+1)2 B. 1/s2(s2+1) C. 1/s2 + 1/s2+1 D. -…

A:

Q: determine the inverse Laplace transform of F.

A:

Q: Compute for the inverse Laplace transform of Y (s) = (s+2)³ * 3 e-2t+2 e-2tt e-2442

A:

Q: Compute the Fourier transform of the following signal: x(t) = e-31e|sin(2t)u(t)

A: The Fourier transform of the function x(t) is represented as X(w), it is defined as ∫-∞∞e-iwtx(t)dt,…

Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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Q: The inverse Laplace transform of H(s) = + (t) ==²e²+e-²t 8 1 " (3s+2)(S-2) b) f(t) ==e+e-2t -3 d)f…

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Q: Give the Laplace transform of 5 0Sx and x <I f(x) = -7 sin (2x) 2 +e 2 4 +4 b) O Fe)-+" ( 5 F(s) 7 5…

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Q: Find the Fourier Transform of Sa? – x², for |æ| a f(x) = and hence deduce that (sin s- s coss -) ds…

A: Fourier transform of gx=1 for x&lt;a0 for x&gt;a is ∫-aa1.e-isxdx. Calculate it:…

Q: Find the Laplace Transform of e-t sin2t 2 2s 2 A. ²/+ B. S (s+1)²+4 (S-1)²+4 C. S+1 s(S²+4) D. None…

A:

Q: 1. Compute the Fourier transform of the following signal: x(t) = e-3|t| sin(2t)u(t)

A: Hint: The convolution theorem of Fourier transform states that, the Fourier transform of the…

Q: Find the Laplace transform of U2 (t – t) e" sin(2t)dt 2e-25 s (s²+2s+5) 2e-2s s(s²–2s+5) e-2s…

A: Here we will find out the required Laplace transform.

Q: Give the Laplace transform of -2x 0Sx and x < 3 f(x) = 4 3<x -3s 27 20 O F(s) = -- b) O F(s) = - -3s…

A: Solution :-

Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

A:

Q: Calculate the Laplace transform of f(t) = 2 cos(3t)

A: The given function is ft=2 cos3t.

Q: Obtain the Fourier transform of the double pulse defined by f(t) ={ 1 ,1< or equal to x < or equal…

A: Fourier transform: The Fourier transform of function f is given by, F(ω) = ∫-∞∞f(t) e-ωjtdt. Given:…

Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: L(e3t cos 2t)

A: We know, L{eatf(t)}= F(s-a) , where F(s)= L{f(t)} L{cosat}=s/(s²+a²)

Q: t2, 0 2

A:

Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: Find the Laplace transform of f(t) = 31° - 8 cos 4t + e-24.

A: We will use the Laplace transform formulae to find the Laplace transform of the function f(t)

Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: f (t) = e2t V1 + cos 4x %3D

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Q: Find the Laplace transform of the function: 0, f(t) = { e - 10t + 26, t2 5 t < 5 1 L(8) = e-5s 52 2…

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Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Q: Find the Laplace Transform of f -1 Osx<1 f(x) = 1 x21 2e-s 1 a. 2e-s 52 1 b. 2e-s 1 C. 2e-s 1 d. +

A: We find Laplace transform of given function