Determine the Laplace transform of the ODE: y' (t) = 6y' (t)- 4y (t) + 6x (t)

Q: (a) f(t) = cosh² t (b) f(t) = 2 sinh? 2t 2

A: To find the Laplace transforms of the given functions we will use the following table of Laplace…

Q: Compute the Laplace transform of the function f (t) = te-2

A: consider the function f(t)=te-2 the Laplace transform is given by the formula L{t}=1s2

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: Find the Laplace Transform of f(t) = cos t u(t-1)

A: The given function is f (t) = cos (t) u (t – 1):   Find the Laplace transform of the given function.…

Q: Find the Laplace transform of f(t) = cos(2t) * u

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Q: dt (te-¹u (t))?

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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: Solve using Laplace Transform f(t) = (d2/dt2)(te-t)

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Q: sin 2t (i) Find the Laplace transform of

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Q: Find the Laplace transform of  f(t)=-2u2(t)-3u3(t)+5u6(t)=......

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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: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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Q: 3 3 e. f(t) 5 sin2t *cos2t e-'cos2t - 10

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Q: Find the Laplace transform of the function f(t) = u₁(t) + 5u6(t) — 4u5(t) The Laplace transform F(s)…

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Q: f(t) = tg'(t)

A: The solution is given as

Q: What is the Laplace transform of x(t) = e-tcos(pi)t?

A: To find the Laplace transform of ,  x(t) = e-tcos πt Here the proof for standard form has been…

Q: t'e5t - e'cos v7t

A: Laplace Transform: The Laplace transform of is a function of a new variable s given by First…

Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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Q: Find the Laplace transform using convolution theorem: Te2" sin(2(t - T))dr.

A: So, here f(t) = sin(2t) and g(t) = t e2t.

Q: f(t) =sin 4x/x. Find the Laplace transform

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Q: Q1) a) Find L[ (k - ht)².t²] RI Find the Laplace transform of: f (t)= et, cos² (3t)

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Q: Find the Laplace Transform F(t)=te^t*t^2

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Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: fx, þx| a' Find the Fourier transform ofƒ (x) = %3D

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Q: 1. If Rita receives $40.34 interest for a deposit earning 6% simple interest for 180 days, what is…

A: Since there is multiple questions, we will solve the first one. Repost the question to get the other…

Q: The inverse Laplace transform of X(s) = (s+2)? is given by: O A. (1-2t)e-'u(t). O B. none of the…

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