When using Laplace transform to solve the IVP :Xn = 'n u(x,0)= - x. t>0 Then u]= 1 - SX e a. SX ce Sx s2 b. 1 s2 1 -SX+ - Sx S O d. 1 - SX - --e SX e. S 1 SX s- O f. e SX -- O g. - SX + e - SX -ce e O h.

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

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Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2 +s+6)(s²+5) 3s-6 5s…

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Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 5s + 25 F(s) = s2 + 10s + 50…

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Q: Use direct integration to find the Fourier transform G(f) of signal

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

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Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: Find the Exponential Fourier coefficient Cn for signal f(x) = x Defined on interval [-1 ,1]

A: Complex form of Fourier series is defined as follows: fx=∑n=-∞∞cne-inx2πL where,…

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: = Find the inverse Laplace transform f(t) = £¹{F(s)} of the function F(s) = f(t) = = L 6s+2 s² + 100…

A: The function: Fs=6s+2s2+100. We have to find the inverse Laplace transform of the given function.

Q: (3 f(t) = - 2<t< 2 otherwise %3D

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

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Q: find the Inverse Laplace Transform 5² +95 + 6 s(s+ 1)(s + 3)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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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: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :

Q: Compute the inverse Laplace transform of the following functions. -2s 2s³+3s²+2s+27 (s²+9) (s²+1)

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Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.

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Q: i) F(s) = ii) F(s) = (s + 3)(s² + 16), s² + 10s + 2.

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Q: X(z) = z² N N (2--/-)² (2-²) 3/

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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