2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

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Q: 216 X(s) = s4+5s3+15s2+45s+54 2s-9 Y(s): s(s2+10s+146)

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Q: 8. y" +9y = 20e y(0); y' ||

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Q: the loflare y"-3y'-10y = 5(x) will 2(0)=0 27(0) =

A: The differential equation is:  . . . (1)And, .To Do: Solve using Laplace Transform.

Q: t2 sin 3t – 3t cos 3t

A: Given :    t2sin3t-3tcos3t

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t + 4e¯¹ + sin t)

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Q: f (t) = t5 e(1-t)

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Q: MATH B. day A d. Translate three units down and two units to the left b. Reflect across the y-axis…

A: B(4, 6),   E(6, 7),   A(5, 5),  R(3, 4) Three units down means a decrease of 3 units in the…

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: L{t³ + 3t² + 3t + 1}

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Q: 1. f(t) = (2e-4t + sin t)²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2ct-3) cos Cも-3) yct) = sin 2t cos 3t

A:

Q: Let g(t) be the function g(t) = Solve: 2t, ostco occe 127 12 y"+y = g(t), y(0) = 0, y'lol = 1.

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Q: L{e' sinh(t)}

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Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: 4 (1 + cosh(t))2

A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…

Q: #4 Find the matrix the giuven of linear tron gometienled), standard" basis w.Y.t. of the given…

A: The given linear transformation,T: ℝ4→ℝTx1,x2,x3,x4=2x1+3x2-7x3+x4

Q: Find the Laplace Transformation of y" +3y' +2y= 4e* when y (0) = 0, y (0) = 3 OY (s) = 2s +1 2+252s…

A: The formula for y' and y" in terms of Laplace transform is given by Ly"=s2Ly-sy0-y'0 and Ly'=sLy-y0…

Q: What is the Laplace Transformation of this equation 5e³te²tt² + e²t cosh2t 2t

A: We have to find the Laplace transform of the following functionWe know that1)    ,  if 2)    , n =…

Q: Give 5 simple or basic examples of Laplace Transforms with solution.

A: First example: We have a formula Ltn=n!sn+1 So, one example is for n=2: Lt2=2!s2+1=2s3 Hence,…

Q: Find the Jacobian of the transformation x - 3u + 7v, y = u² – - v.

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Q: $G ܀ G2$ ܀ = = +ܐܨ 10 10*1 3.25 10 3.25 10 + 3 250 10 10+1. + 10 10+1 3 250*10 10*1 S S = = 1…

A: Given  G1s = 1s2+0.337s             ⇒    G1s = 1ss+0.337 = as + bs+0.337…

Q: f(D = te2sin3t %3D

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Q: Find the bilinear transformation whose fixed points are 1,i and maps 0 to -1.

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Q: Find the Jacobian of the transformation a = u² + 5v², y = 7uv

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Q: 1. (t + 2 cos 2t)² – 2 cos²2t

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Q: e-", if 0 3,

A: