Transform: F(s) = (s+2)(s−1)(s−2) O f(t) = −e-² – 3c′ – 4e²¹ 21 O f(t) = c-²¹ - 3e O f(t) = −e²¹ – 3e' + 4e-²¹ 21 O ƒ(t) = e ² + 3e" 4e²1 O ƒ(t) = −e^² + 3e' + 4e² Of(t) = c 2 +3e' + 4e2 © f(t) = c-²¹ - 3c¹ - 4e²¹ 27 Of(t)- 3e-4e²

Q: f (1) = = cos 21 + 7 sin 2t s2 + 4 14 s2 +4 s+14 s2 + 14 s+14 s2 +4

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Q: 7. F(t) = [sin (t -) - cos (t -)u (t -) | 8. F(t) = 8 sin cos t 9. F(t) = cos cos (; – bt) - bt), b…

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Q: Find the inverse Laplace transform of F (s) 4 F(s) = s²+12 s+52 a. f(t) = e-6 (6 sen(4 t)+cos(4 t)…

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Q: Find the inverse Laplace of Find the solution of the DE using Laplace Transform y" - 4y +4y=cos(t);…

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Q: Solve the Laplace transform:   y’’’ + 4y’’ = -6y’ + y – t5e-3t;    y(0) = 0,  y’(0) = -2, y’’(0) =…

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Q: Determine the Laplace transform of the solution to Jy" - 4y + 2y = g(t) [y(0) = 8, y'(0) = 0 where…

A: The given differential equation is:y''-4y'+2y=g(t)y(0)=8,  y'(0)=0where:g(t)=0…

Q: Use Laplace Transform to solve Ø(t) + 2 * cos(t−7)ø(7)dt = e¯¹ for ø(t). -t 0

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Q: Transform: F (s) 18-16 s²-08-13 Of(t) = 4e 3 sin2t – 4e-3t 31 cos2t O f(t) = 4e³t cos2t 4c sin2t O…

A: Given: F(s)=4s-16s2-6s+13 To find the inverse Laplace transform.

Q: f(t)=u(t-3)(t-3)e-4t Obtain the Fourier transform of the function

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Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: Find the Fourier transforms of the following functions: a). f(x) = # 0 x < 0 e−x x ≥ 0

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Q: Given that F[f (t)] =(j /@)(e¯J® – 1), find the Fourier transforms of: (a) x(1) =f(1) + 3 (b) v(1)…

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first…

Q: y" – y = 46(t – 2) + t². y(0) = 0, y'(0) = 2. Con

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) +…

A: What is Dirac Delta Function: The unit impulse, sometimes referred to as the Dirac delta…

Q: D(D² + 9)y = sin3x - 5

A: Using method of linear differential equation with constant coefficient.

Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: d d. Calculate [r(t) r2(t)] and dt [r(t) x r2(t)] first by differentiating dt the product directly…

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Q: d³y d²y 3 dx3 3 – y = x²e*; y(0) = 1, y'(0) = 2, y"(0) = 3 dy dx2 dx

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Q: Determine the sequence of the generating function A(8) = – log. (1 – s)\s |

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Q: у"(С) — бу'(t) — 2y(€) = 4 cos 2t – 4t³; y(0) -2, y'(0) = = -

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Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (If an…

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Q: Find the laplace transform of 1.f(t)=u(t)-u(t-1) 2.f(t)=cos5t.u(-t) 3.f(t)=sint.u(t).et

A: Since multiple questions are posted only the first question will be answered. Kindly resubmit the…

Q: 3.0 f(t) 2e-104 +t+5e 1)(t +5) 4.0 f(t) (t- 5.0 f(t) = t² -7+ sin 2t %3D %3D B.Find the I

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Q: Use the Laplace transform to solve the initial-value problem: b) (x) = cos(3x)+sin(3x) - 13³ e-³x 3x…

A: The given equation is; y'+3y=2cos(3x), y(0)=4

Q: Let y(t) be the solution of the I.V.P. y'"+ 10 y' + 10 y= 0, y(0)= 6, y'(0) = 0. Find the Laplace…

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Q: Find the Laplace transform of f(t) = e-2t + 2 sin2t

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Q: What is the Laplace transform of y" – y' = 0 ? a. s?Y(s)+ sY(s) – sy(0) – sy'(0) = 0 b. s?Y(s) +…

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Q: Consider the function f(t) given by J1 if l비 <1 f(t) = |0 otherwise %3D Find the Fourier transform…

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Q: (a) Solve : 2. at given that : u (0, t) = 0 u (5, 4) = 0 u (x, 0) = sin (xx) using Laplace…

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Q: Use an appropriate Fourier Transform Theorem to solve the following Integral Equation ƒ(t) +6 [**°…

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