Given that the Laplace transform of f(t) is F(s) = s 5 s2-3s +3 then the Laplace transform of f(t)e-2t can be written in the form: s+ A s2 + Bs + C where A, B and Care integers.

Q: y"+y' - 2y = x2

A: Solution :-

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Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: 128 (S+125)²

A: ℒ-1Fs-a=eatft We have to find the inverse LaPlace transform of -128s+1252

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Q: a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

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Q: determine the inverse Laplace transform of F.

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Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

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Q: Find the inverse laplace transform of the followin function FIS) = l0-4s (S-23

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Q: Find the inverse Laplace transform of the following functions: a) F(s) = (s+a)(s+b)

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Q: Find the inverse Transform of the following: F(G) = 6s +19 S+ 2 3. %3D s?+25 52+25

A: Since you have asked more than one questions, we will solve first one for you. If you want other…

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

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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: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

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A: Using inverse laplace of F(s) we have to find f(t)

Q: f (t) = eat+b

A: The solution is given below:

Q: The Laplace Transform (LT) of the signalf(t) = u(t – B)u(a - t), a >B > 0 i A. (e-as -e-) B. (e- -…

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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: w? + 21 F(w) w2 + 9

A: The objective is to determine the inverse function of F(w) F(ω)=ω2+21ω2+9         =ω2+9+12ω2+9…

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A: The given function is fx=ae-4x+be-3x+ce-2x2 if x>0. Now simplifying given function, we have:…

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Q: Find the inverse Laplace transform of 68 +4 8²-4 8>2

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Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12<z<1 Now,         x(z)= z2z+12z-1 Using partial fraction,…