2s +10s F(s)=D (s²–2s +5)(s+1)

Q: Find the Laplace transform L(2te3t cos 4t + u(t – 1/2) sin 2t)

A: Here we apply formulas of lapses transformation.

Q: What properties of Fourier Transform best describe the equation below? F[S(-x)](@)= (-@) O Linearity…

A: Given, Fourier Transform equation,Ff-xw=f-w To find: Which property of Fourier transform describes…

Q: Evaluate L-In (7-s) s²-4

A:

Q: Evaluate: L-1 [2s-9) ls²+2)

A:

Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

A:

Q: Find the inverse Laplace transform of the following transfer function: Y (s) U(s) (s+7)2 + 25 50…

A:

Q: x2 , Ix1 a = find Fourier transform of f(x)=

A: To determine: The Fourier transformation of  f(x) = x2 ,     x<a 0 ,       x>a

Q: 1 S F(s) = 2s 2s2 + 56

A: We apply inverse Laplace transform to the given equation and find the function f(t).

Q: 1325 + 481 + 5411

A: Ans: 2

Q: (x|H * G * F) publing integral (convolution), that is, find e inverse Fourier transform of the…

A: Given: < x| H * G * F>

Q: Laplace and Inverse Laplace Transform Solve the Laplace transform of sinwtcoswt

A:

Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: ution of the following differential equation by Laplace transform

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Q: Determine L-1. 2s² +10s (2s²-20s+58) (s+1)

A:

Q: use convoluHon Lapiace transform 15. to find Inverce (1+zs) =S

A: Let ft & gt be functions with Laplace transforms Fs & Gs respectively that is Lft=FS &…

Q: Using Convolution theorem find the Laplace transform of f(t) = f* r²e="dr

A: Solutions

Q: unctions f and g have Fourier transforms F[f] – and F[9] = That is the Fourier transform of, h(t) =…

A: Given: Ff=1w2+1Fg=e-w2 A Fourier transform is a mathematical transform that decomposes functions…

Q: 53+45?+ 35 +452. is

A: Please check step 2 and 3 for solution

Q: Find the Laplace transform, F(s), of this function f(t) = e-2t t cos 3t

A: We use first shifting Theorem to find the Laplace transform of given function which states that  IF…

Q: Use established general properties and the transforms derived in the examples to find the Laplace…

A:

Q: a) 2-3u(t-5) cost = -t Find the 33 Ordine Lap of

A: The given function is ht=-t cos5t-3ut-5cost To find: the Laplace transform of the given function.

Q: Laplace Inverse Transform of 1 (5+1) (5+2) (5²+25+10)

A:

Q: Find the Laplace transform of the following function:

A: Le-2tt2cos3tHt-π2Use Laplace Transform table:   Ltkft=-1kdkdskLftFor t2e-2tcos3tHt-π2:…

Q: Find L(e2t t2)

A:

Q: { x2, Ix1 a ||

A: Given function is f(x)=x2     x<a0      x>a let the Fourier transform of f(x) is F(s) So we…

Q: Laplace transform

A:

Q: S13

A:

Q: 1 F(@) = %3D 2 - w2+j3w

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: 3t Using standard Laplace transforms, find Laplace transform F(s) for cos (G)

A: f(t)=cos23t2using:cos 2x =2cos2x-1f(t)=1+cos23t22f(t)=12+cos 3t2F(s)=L12+Lcos3t2

Q: ») y'= 2 + t

A:

Q: 1 t3e0.035t 2

A: Use the following formulae, to obtain the solution. Laft=aLftLtkft=-1kdkdskLftLeat=1s-addxxn=nxn-1…

Q: LINEARITY, SHIFTING AND CHANGE OF SCALE PROPERTIES Find the Laplace transforms of the following…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: L-1 20s² (3s² + 5s + 7)

A:

Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: s²-s-12 S (s− 3)(s+4) (s−5)²

A:

Q: Inverse laplace transformation cos t * tan t

A: Given ft=cost.tant

Q: - FCS) いは %3D then-L (t" fra) fess %3D

A: