6 F(s) = ((28 $3)2 + 3) +²+ e + 3)²

Q: se-2s c) F(s) (3s+4)(s-1)

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Q: 7.2 . 2 S 1 s – 2

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Q: F (s) = e4-3s (s+4)5/2

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Q: 24 e

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Q: SOLVE THE PARTIAL DIFFERENTIAL EQUATION BY LAPLACETRANSFORM uz(x, t) + u¿(x,t) = sint given that…

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Q: +23

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Q: Find the Laplace transform of the following functi a t-5/2 b.) t5/2 sinh 4t

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: s-1 s(s+ 1)² -1+et+2te-t 2+te-t-e-t O Option 1 Option 3 1+et-2te-t Option 2 -2+tet + et O Option 4

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Q: 3(s-4)e-5s F(s): %3D s2-8s+25

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Q: Evaluate t=0.01, Given: 21' + 20I = 100sin(150t) Round-off to 3 decimal places.

A: Given differential equation is2I'+20I=100sin150tI is evaluated at t=0.01 as shown below.

Q: 3s2 + 5s + 1 (s)= (s2 + 15s + 34) %3D

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Q: 23. F(s) = 5s² + 34s + 53 (s+3)²(s+1)

A: We will partial fraction decomposition to separate the factors of denominator and then use inverse…

Q: laplace transforms fewel

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Q: L[(t-)fu(t-4) +(tr)sinh(t-)]

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Q: 1) S-4 5²-85+ 10

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Q: L[(t-$)°u(t-)+(tt) sinh (t-Đ]

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Q: Examples: find the inverse laplace F(s) = 2s2 + 5 s3 +6s? + 5s -12

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Q: S-a (s-a)'tb2

A: Inverse Laplace transferom

Q: ₂ (91+₂²) - F(S)

A: Given: Fs=1s2+162. We have to find the inverse Laplace using convolution.

Q: I- 100 (s+10) (s+20)

A: Inverse Laplace transform

Q: Solve using inverse laplace application with MATLAB. (syntax)

A: Explanation : For instance, syms H (s) s tH (s) = (s ^ 2 + 3 * s + 5) / (s ^ 3 + 5 * s ^ 2 + 6 * s +…

Q: s-1 Y(s) s2 +4s+5

A: Given that,

Q: Solve + 3y + 2 ,: y dx = x, given y (0) = 1. dx

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Q: y"+3y'+2y=t; y(0)=0, y'(0)=2

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Q: 10 [s(s+4)(s+5)²

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

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