Use the Laplace transform to solve x₁ = 2x1 + 3x₂ + 12e¹ x2 = x1 +4x2 with initial data x₁ (0) = -8 and x2 (0) = 2.

Q: f(x)= (ae if x>0 MX ае -Nx +be

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Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

Q: F-¹ ¹(1+jw) (2+jw)

A: L

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

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Q: Is that 9/4

A: We have to write the in given solution it is g/4 or 9/4

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: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: t3 - 3t2 + 5t – 8

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Q: sinh ot + cos ot

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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: Find the Fourier transform of f(x) and show details f(x) = {x²² 18 -1<x<0 otherwise

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Q: xct) = 3(t/4) e

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Q: e^3(t+2)/2. Find laplace transform of the function

A: Let's find Laplace transform of given function.

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

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Q: Solve the Laplace Transform f(x) = 2/x

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Q: L-¹ { 2s²-5s+30 -s3-6s2 +11s-6-

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: . Find the Fourier transform of (x if 0<x< a f(x) 0 otherwise

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: what is the discrete fourier transform of y = 001010

A: Introduction: Discrete Fourier transformation is applied when the signal is discrete and finite. For…

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

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

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

A: Here, gt=-e3jtft

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

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: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

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: i{tsinst t}

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