Solve the third-order initial value problem below using the method of Laplace transforms. y""' +10y" +19y' - 30y = - 120, y(0) = 1, y'(0) = 33, y''(0) = − 189

Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Laplace Transformation.

A: Converting the equation in Laplace transform:…

Q: 1 Since of the equation is inexact. 7 c) (Sy-2x)y-2y P= -24 9 = (sy-2x); Since oy др = 52²-2xy ye 1…

A: The solution you have solved, is incorrect.

Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

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Q: Part II. Find the Inverse Laplace Transform of the following: 8s -4s+12 1. F(s) s3 +4s

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Q: Classify the following ODE y(4) -3y (3)-y' =0

A: We have to classify the ode

Q: Find the Fourier transform of (a) f (x) = sin (x²), (b) f (x) = cos (x2)

A: 4. Given that,fx=sinx2andfx=cosx2The Fourier transform of the above functions isdetermined as shown…

Q: SOLVE D.E. USING LAPLACE TRANSFORMS. x'(t) – 3x"(t) – 4x'(t) + 12x(t) = 12e-t ; x(0) = 4 , x'(0) = 2…

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Q: Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of…

A: (.)  Given differential equation is,         w''+w = 2u(t-3)-u(t-4) ;   w(0) = 2  ,  w'(0)=0 (.)…

Q: Solve the given initial value problem using the method of Laplace transforms. y'' + 7y' +…

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Q: 1. Describe the transformations for the equation below compared to the parent funciton y = x³.…

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Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

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Q: Solve the third-order initial value problem below using the method of Laplace transforms. y'"' +…

A: y'''+4y''-15y'-18y=-108y0=9y'0=4y''0=62

Q: Use Laplace transforms to solve the following initial value problem. x"' + 4x' + 13x=te¯¯¹; x(0) =…

A: Given initial value problem is Now find the solution using Laplace transform.

Q: y" + 9y = 5t + 2, y(0) = 2 y'(0) = -1 |

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Q: y" + 5y' + 4y = 0, y(0) = 1 y'(0) = 0

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Q: Q3:- (4) Solve the following differential equation: y³ −3y¹ +3y″ − y" = x² 1 (B) Find the inverse…

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Q: Solve the initial value problem below using the method of Laplace transforms. y'' + 7y' +12y=40et,…

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Q: Q6. Solve the following difference equation using z-transforms: Yn+1 + 3yn = 4√n-2, yo = 2

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Q: 3 y" + 9y = sen2t, 2

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Q: Use Laplace transforms to solve the following initial value problem. x" - 4x = 5t; x(0) = x'(0) = 0…

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Q: Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w =…

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Q: 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t).

A: according to bartleby guide line we do only first part of multiple questions please re post other…

Q: x-3 4 Find 'x' and 'y' if 2

A: Two matrices are equal if the size of both the matrices are same and the corresponding elements are…

Q: Find the fourier trans y (t) = x (+). Cos wot

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