Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo +4Y1-2Y? ult-1)et. v₁(0) = 0. v₂(0) = 3. =

Q: Find the Laplace transform of the following: 1. f(t) = e-2t+5) sin³(8t) 3

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Q: Find the Laplace transform of the following: 1. f(t)= (14t)-3e-7t cos(8t) - (2t-6)²

A: Here given function ft=14t92-3e-7tcos8t-2t-62orft=14t92-3e-7tcos8t-4t2-36+24t Use the basic property…

Q: (2) Find and draw the Fourier transform of f (t) = %3D 9+t2

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Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

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Q: Find the Laplace transform of the equation: y′′−4y=sin2t when y(0)=0, y′(0)=2 choices: a.)…

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Q: Find the Fourier transform of each function. In each case, a is a positive real constant. Answer:…

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Q: L{7te-5t cosh(3t)+sin(√6t) — ²t³ + e=¹} -

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Q: f(t) = e-3t sin(4t).

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. Find the transform of the equation 3x+2y-5= 0 when the…

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

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Q: f(t) = 6te-3t + te-5t sin5t + t² %|

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Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: Solve for the Laplace transform of sint sin 2t cos t

A: The given function is f(t)=sin t sin2t cost  rewrite the function as  f(t)=122sin t cost sin2t…

Q: How to solve the Laplace transform of the following equation: W(t)=cos(3t) - cos(7t) Please write…

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Q: s+2 Find the inverse transform: F(s) s2-6s+8 А. Зе 4t — 2е2t C. e4t – 3e2t В. 2е4t — Зе2t D. e4t +…

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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: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Part I. Find the Laplace Transform of the following: t-e-3t 1. f(t)

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Find the transform of the equation x² + xy + y² = 1 when the…

A: Let us consider the equation to transform the coordinate use  x=Xcosθ-Ysinθy=Xsinθ+Ycosθ

Q: Using transform ,find the result of the integral x =rcos(0), y =rsin(0) e-(7x2+3y") dxdy

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Q: Apply the following transform to the point (1,-1, 2). Find the coordinates of the transformed point.…

A: The given matrix is, 120-10-121-21-13-1011 Let the transformed point be x',y',z',w The above four…

Q: x2, Ixl a

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Q: Show the following Fourier Transform and F{tri(t)}(f) = sinc²(f) F{e-t²}(f) = e-f² You may use the…

A: Given: Here is the given Fourier Transforms,  Ftritf=sinc2f and  Fe-πt2f=e-πf2

Q: By using Laplace transform to solve y +y = tet with y (0) = -2, what would the particular solution…

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Q: M=15 (M+3)z² (z+3)(z-1)²* 2. Find the inverse Z-transform of the function F(z) =

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