Find the function y(t) whose Laplace transforms are the follow (a) 1/(s' -s-2) and (b) 2s/[(s+1)(s² +4)].

Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: (t +1)² 0 3

A: Given that yt=t+120≤t<3t+22t≥3 Then by definition, Lyt=∫0∞e-sty(t) dt=∫03e-stt+12dt+∫3∞e-stt+22dt…

Q: Find the Laplace transform of the function f(t)= (5e/t+4t)using the table of known as2+bs+c…

A: We first find Laplace transform and then comparing we find the value of c.

Q: 2. Determine the inverse Laplace transform of F(s) F(s) = (25-18)/(s²+9))

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

Q: Find the Laplace Transform F(t)=(2t+5)U(t-3)

A: The Laplace transform of a function f(t) defined byL{f(t)}(s)=∫0∞f(t)e−stdtUnit step function:…

Q: t3 - 3t2 + 5t – 8

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Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

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

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Q: pload answer sheets Find the Laplace transformation of H(t-4)e“-4)

A: Solution is given below:

Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

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: 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: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: Use the Laplace transform to find x(t) and y(t)

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Q: (t², 0st<2 Find the Laplace transform of F(t) - 5, t2 2

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Q: 2) Sketch the graph of the following s functions and find the Laplace transfo a) f1(t) = }4 – t, (o,…

A: Given,      (a)    f1(t)=t0≤t&lt;24-t2≤t&lt;40t≥4      (b)    f2(t)=00≤t&lt;1t1≤t&lt;21t≥2

Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

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: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: Find the Laplace transform of sinh3 4t

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