5s2-4s-7 7. (s-3)(s²+4)

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

A: Given DE is  y"+9y=5t3 ..... (1) y(0)=y'(0)=0 ..... (2)

Q: L{e' cos 3t}

A: Given etcos23t We have to find the Laplace Transform. Formula use1. cos2(x)=12+cos(2x)122.…

Q: 4. Find L'{ -}. Give table number. 3-5S

A: We have to find L-123-5swe are going to use the formulaL-11s-a=eat ——(*)

Q: t' Find L 10e-5t sin - 2.

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 1. Solve: 2y' — y y (1) = es; y (0) = 2 ? Which of the following is within 0.01 of the right answer:…

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Q: f(d) = e-2d d4

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Q: Let A = -127 0 -8 4 0 and 6- = 36 7 Define the linear transformation T: R2 → R³ by T(x) = Ar. Find a…

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Q: 3. Use definition (not tables) of L{f(t)}= [ e"f (t)dt to find L{1*e" } . Assume s>9

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Q: -2x jika x > 0 jika x <0 f(x) =

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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-3t-2e sin 3t} rmine the following transform.

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Q: Question 1.i.) A truncated sine wave { sin5x, -T <x <T y = f(x) = 0, otherwise

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Q: -t cos(3t

A: To solve this problem, we  use the  result of laplace transformation.

Q: find Fourier coefficients

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Q: y! ty =e*t which catis fies the conditions y (0 %3D

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Q: y"+2"-z' = 0 y' + z 221-ex - Yo = 0, y = 1 20= 1, 2 = 1

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: 1. f(t) = e-4t + sin(t – 2) + t²e-2t 2. f(t) = e-at sin w tu(t)

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Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

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Q: tsin 3t fre>=5. ー3七

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Q: 2ィ 4= e そーを 4(t) dt

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: if t 5. t-5 ● i +7x = 4t, x(0) = 5 • ï + 14x + 58x = 174, x(0) = (0) = 0

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Q: %3D

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Q: e2t, f(t)=sin(t), t², 0≤t≤n π ≤ t < 2π t≥ 2π

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Q: Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 5 50…

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Q: ) CALCULATE THE SAPLACE TRANSFORM. INOICATE THE DOMAI. A) f4)- t Cos (24 +) e" B) ft)= et Sun t…

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Q: 5: F(s) = (+2s+1) +7

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Q: Solve all the Laplace transform in the image attach

A: Laplace transferom of the pice wise function, and Laplace transferom of divisibility by t theorem