f(t) = 7t² – te¬4t -s3+14s+56 -s³+14s² +224 а. F(s): с. F(s) %3D s4+4s3 s5+16s3 -s3+14s²+56 -s3+14s²+112s+224 b. F(s) d. F(s) s5+4s3 $5+8s4+16s³

Q: Apply the properties of laplace transform including the linearity property, shifting property, and…

A:

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

Q: h(t)=t^2sin(3t) laplace transform

A: Given function is,                h(t) = t2 sin3t (.)  Some properties of Laplace transform :- (i)…

Q: Find the Laplace transform F(s) of the function f(t) = e"6(t - 3) F(s) = e^(20)

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Q: Find the Laplace transform F(s)=L{f(t)} of the function f(t)=e^(−3t) cosh⁡(5t).

A: Laplace transform of the function, f(t)=cosh(at) is

Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: do the inverse laplace transforms of the rational function F(s)=(s-2)/s(s^2 -4s+8)

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

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

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Q: Use the definition of the Laplace transform to find ℒ{f(t)} for f(t) = 2e^−3t Find the domain of the…

A: The explanation of the solution as follows:

Q: Find the Laplace Transform of the function f(t)= e-t ^ sin ^ wt

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Q: f(x) = S^ sinh 2tdt

A:

Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

A:

Q: Determine the Laplace transform of the functions shown and simplify . 23t^2 - 4e^2t

A: Some Laplace formulas: L(t2)=2s3 Leat=1s-a

Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A: L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

Q: Find the laplace transform of [ 2/(s +1)]- [ 4/(s + 3) ].

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace transform of F(s); f(t)=L-1[F(s)] Where;…