4. The inverse Laplace transform L-1{s/(s²+8s +20)}

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: -* is -. р Show that the finite sine transform of 1 . TC

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Q: 5s + 20 F(s) = s2 + 8s + 97

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Q: Write down Fourier Transform for the following non periodic function.

A: In this question, we have to write the Fourier transform of the non-periodic function. The function…

Q: Find the inverse Laplace transform (a) In 2 s+2

A: (a) we have to find the inverse Laplace transformation of  We use the differential formula for…

Q: # "S" Domain "t" Domain 1 4/5 (S+ 1)² /s 2 3 2/S + 4/s5- 1/(S +2) 1/ (S + 81) 5 (S+ 2) / (S² + 3)

A: The solution is given as

Q: 40s (s+1)(s+9)(s2-9)

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Q: using con |' 1 P+ (1)

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Q: Evaluate the Inverse Laplace Transform 35+1 F(s)=- (s- 25)

A: Given is a function F(s)   To Find: Inverse Laplace Transform of F(s)

Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: 2 L-1(2S+52 + (s-3)s} (s-3)2 5-

A: We have to find the given inverse Laplace transformation   L-12s+5(s-3)2+2(s-3)5 = ?  RESULTS : -…

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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Q: (1-6 (1-5 (1-5)

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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: 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: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: The Laplace transform of L(t+3)². is

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Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: Find the Fourier transform of (x) (13x if|x] 1

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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: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: 1- Find Z-transform if x (n) = bln|

A: The given function is xn=bn To find its Z-transform.

Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

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Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s>0. Since the…

Q: How can I inverse laplace transform? 3 10 (511)2(513)

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Q: Find the inverse Laplace transform L-{F(s)} of the function 6. F(s) = (s – 3)* NOTE: The answer…

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Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…