Solve the shifted data IVP by the Laplace transform method showing your work in details. y"+3y'-4y=6e2t-6      y(3)=4, y'(3)=5

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

A: Converting the equation in Laplace transform:…

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

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

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Q: 1 -s F(s) = e = -+ s2 e-3s

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Q: Use matrix to solve for X(s) and Y(s) in the equations below and find the laplace transform of X(s)…

A: To solve the given problem Simplify for X(s) and Y(s)  Using inverse laplace transformation solve…

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: 2s + 16 s² + 4s + 13

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Q: t3 - 3t2 + 5t – 8

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Q: e^3(t+2)/2. Find laplace transform of the function

A: Let's find Laplace transform of given function.

Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: Obtain the F(s) of the following f(t) 1. f(t) = } (-1 0st<1 ={'1 t21

A: we have given the function f(t)=-1  , 0≤t&lt;1  1  ,    t≥1 we have to find the Laplace…

Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 13 5r…

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Q: 5 sinh (3t) +4 cosh (3t)

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Q: Find Lf" sin /6t-r'e"}

A: Please see below

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

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Q: X f(x) 0,0 0,5 1,0 2,119 1,0 15 20 2,910 3945 5,72 2,5 8,695

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (1) =…

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Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Find the transform of the equation x² + xy + y² = 1 when the…

A: Let us consider the equation to transform the coordinate use  x=Xcosθ-Ysinθy=Xsinθ+Ycosθ

Q: Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to…

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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: 5. Laplaceovou transformáciou riešte rovnicu y" + 4y' + 3y = 8e', y(0+) = y'(0+) = 0.

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Q: A point (x,y)=(3,4) is transformerd. First with: [2 And then with: [29] Please calculate the result…

A: Given that , Point x,y=3,4 find the transformed point.

Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

A: The objective is to find the inverse laplace transform of s+1s2+6s+10 First write the denominator as…

Q: Solve the shifted data IVP by the Laplace transform. Show the details.

A: We have given a initial value problem, y''-2y'-3y=0 with initial conditions y4=-3, y'4=-17 This is…

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: The first: find using transform i x =rcos(0), y=rsin(0) 00 00 e-(7x²+3y) dxdy

A: We have to use the given substitution.

Q: Solve the shifted data initial value problem by the Laplace transform. Show the details. у" — 2y—…

A: Given differential equation,y''-2y'-3y=0,y4= -3,y'(4) = -17