3. Find the Laplace transform F(s)=[f(t)](s) where f(t)=- ›-4 4 for 0 < t <2 for t≥ 2.

Q: Find the Laplace transform of each function: y = S(x)

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Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 4 F(s) = s2 + 4 Your answer…

A: Given,           Fs=4s2+4

Q: (2) Apply inverse Laplace transform and find f(t) of the following: 6(5+3) S (5+1) (5+2) a) F(s) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

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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: y" + 4y' + 4y = 2e, y (0) = 2, y (0) = %3D %3D

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Q: Using the definition of Laplace Transform (LT), derive the LT for the following function f(t) = 3+t

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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: L Find the Laplace transform F(s) = {f(t)} of the function f(t) = et-2h(t-2), defined on the…

A:

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: consider the function +61 f(t) = 7, 15+44 | (+-4), +24 1) write the function in terms of unit step…

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Q: What is the the laplace transform of  f(t)= 7t +19 +7t2 H(t-6)

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Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: Solve for the laplace transform x(t) = (t+3) sin(t-6)

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Q: Use Laplace transform to solve for f(t): (t-7)S(T)dr=t.

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (1 – t)(h(t – 1) – h(t – 3)), for s…

A: Rewrite the given function as follows.…

Q: f(t) = when 0 k

A:

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

A:

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: 4. Using the definition, not the table, find the Laplace transform of (a) f(t) = −3 (b) g(t) = 4t…

A: Laplace transform of the function

Q: Let ƒ(t) = 0 3(t 6 - if t 6 Find the Laplace transform, F(s) of f(t).

A: We have to find Laplace transform,  of .

Q: a) Find the Laplace transform of f(t) = |t – 1|+|t +1|, t 2 0 [Dec 2016] r(1) = (S - b) Find the…

A: 4(a) The given function is f(t)=t-1+t+1;  t≥0 so, it will be  f(t)=2    if t&lt;12t   if t≥1 taking…

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 Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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

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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: Apply the definition of Laplace transform (that is, you have to compute the integral) to find the…

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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: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: Find the inverse Laplace transform f(t) = L{F(s)} of the function F(s) 5 2 s2 8 - 9 1) = c*{-(? 2 8…

A: We find inverse Laplace transform