Solutions to higher Order DE using laplace transform 1- y" + 2y² + y = 8 (+-1) y(0) = 0, y'(o) = 0

Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 /…

A: Laplace transferom of the function

Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

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Q: 4s 4 2-¹ (1-16) - O (5/2) e^(-4t)+(3/2) e^2t O None of them O (5/2) e^(-4t)+(3/2) e^4t (5/2)…

A: The given inverse Laplace transform .We have to find the inverse Laplace transform.

Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are s-a {$ { (5-3)² + b²}= and eat…

A: , To find: .

Q: dy -1- -y=0, y(0) = 4 dt Use Y for the Laplace transform of y. (not Y(s)). So Take the Laplace…

A: The initial value problem is given by:  -1dydt-y=0 , y0=4 We have to use the Laplace transform to…

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: Solve using Laplace transform y"-2y' +5y=1+t, y(0)=0, y'(0)=4

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Q: 1 1 s? +4 s -4 (s+3)

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Q: Laplace Transform. Please show your complete solution

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Q: Solve by Laplace transform method x' = 2x – 2y у'3 х — у — cos t x(0) =,y(0) = 3 4

A: Solution: The system is x'=2x-2y y'=x-y-cost x0=35,  y0=45

Q: y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: Find the inverse Laplace Transform for Cari Songsangan Tranformasi Laplace untuk 1+(s-2)2 F(s) =5-2)…

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: 2e 5(s+1) (a) Determine I |(s+4)' ` s² +2s +5 3.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 3. f(t) = [sin(2t)]^2 %3D

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Q: Solve the following equation by using Laplace transform d2y dy + 2 + 2y = 1 when Y(0)= Y°0) = 0 %3D…

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Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

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Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

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Q: Solve for the inverse Laplace Transform of 8 F(s) 53 - 3s2 – 4s 8 f(t) = – 2t + 2 a. + te4t Ob. 8…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = -3, y '(0) = 5 -e²t 4e2t et + + (1+t)4e²t - 7et 7 7 7 -e²t4te²t et + 7…

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Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: O O 0 -1 -3s -3se-3 s²(1 − e^³ª) [−3se¯³ª − e ³ + 1] -3se 3-³-1] $²(1-es) -3se $² (1-3) -3se ³³ + e…

A: To determine the Laplace transform of the below periodic function. ft=−t,    0<t<3,    ft+3=ft

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: By using Laplace transform to solve y"-y e' with y (0) = 1 and y (0) = 0 ,what would the particular…

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Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

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Q: y"+ 6y'+ Sy -3t -st 1 - е se / у (о)= qў(o)=o

A: The differential equation is given by:  y''+6y'+8y=e-3t-e-5t      ,y(0)=0,y'(0)=0 We have to solve…

Q: What is the Fourier transform of 8(x) dx F(k) = 100 = 2T -ikx 8(x) =?

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

Q: OForm patial differential equation by elinsinating arbitrary functions f and g from 2 = f) +y9(x) a)…

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Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: (1, 0 2 L (2) = + e (-!) te-2s (s-1) S (음 + 1) O. e2 L (y) = -2s e - s2 ( (s-1) °L (y) = -2s e (s+1)…

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Q: у" + 2y'— Зу%3D бе 3t У (0) — 0, у' (0) - 0 %3D

A: Here we use simple Laplace transform to solve this