question x()-4y(t) 8t y()+2y(t)-2x(t)= - 4t-2 Consider ystof differential equations. .If x(0) = 8 and y(0) = - 5 then the Laplace transform x}(s) of x(t) equals to %3D 2s-1 (s+4)(s-2) 4s-2 (s+4)(2-s) 2s-1 (s+4)(2- s) 4s-2 (s+4)(s-2) O None of these. A Moving to the next question prevents changes to this answer.

Q: Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5…

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Q: 5. 6. 7. Find the solution of the Initial Value Problem given below by using the Laplace Transform…

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Q: Question 3 a) Solve the initial value problem by using the Laplace transform. y" - 5y'+6y = 4sin 3t,…

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Q: Consider the following initial value problem: x" 5x14x = sin(8t), x(0) = 2, x' (0) = -1. Using X for…

A: In your answer this will be 696 place of 632

Q: Example 5. Solve the initial value problem (IVP) by Laplace transform LIf "(1)) = s F(s)- sf (0) -…

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Q: 8. Use the method of Laplace transform to solve the initial value problem y" - 2ay' + a²y = (a - B)²…

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Q: Using Laplace transform, find the solution of the initial value problem. 5. y" – 4y = 6e³t – 3e-t, y…

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Q: find the Laplace transform Y(s) = ℒ{y} of the solution of the given initial value problem. A method…

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Q: Using Laplace Transform, solve the following differential equation " -9y = ebt, y(0) = 0, y' (0) =…

A: Here we have, y''-9y=e-5t    and     y(0)=0,  y'(0)=-2   Basic rules of Laplace are, L{ea·t}=1s-a,…

Q: 9. Which of the equations given below is the Laplace transform of the following differential…

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Q: Consider the following initial value problem: x" - 5x²14x = sin(8t), x(0) = 2, x' (0) = -1. Using X…

A: We will use Laplace transformation table  f't  = s Fs− f0f'' t= s2 Fs − s f0 − f0Lsinat=aa2+s2

Q: Yn+2-6yn+1 + 8y₁ = 3n²+2-5.3n Solve the following using Z-Transform, when y(0)=0 and y(1)=1.

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Q: -7s 4s +7 Q5.A.i. Find the inverse Laplace transform of F(s)= (s – 4)° – 21 (s+1X2s + 3)(3s +5)

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Question 1 Question 2 Using variation of parameters which one of the The Laplace transform of…

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Q: 3. Solve the following system of differential equations by applying the Laplace transform x′′ +x′…

A: Given x''+x'+y'+2x-y=0y''+x'+y'+4x-2y=0and x(0) = y(0) = 1 x′(0) = y′(0) = 0

Q: 6) Consider the differential equation y" – 2y' – 8y = 0. Solve this ODE using the Laplace transform…

A: The solution is given as

Q: 7. Use the method of Laplace transform to solve the initial value problem y" - (a + B)y' + aßy = (a…

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Q: 10. Use the method of Laplace transform to solve the initial value problem ý (0) = aa +bB. y" - 2ay'…

A: We have to solve the given problem using the method of Laplace transform.

Q: In some instances the Laplace transform can be used to solve linear differential equations with…

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Q: 10. Solve the initial value problem x(t + 1)- ) xt) + () ()- x(t) + x(0) = %3D by Z-transform.

A: For the equation xt+1=1122xt+10 taking z transform of LHS and RHS:…

Q: How do I solve for the third order y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of 1.…

A: repost the question for other method separately

Q: 1. Find the Fourier Coefficients and Fourier Series of the square wave function defined by: 0 if…

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Q: In Problems : given initial-value problem. use the Laplace transform to solve the 35. у" + 5у' + 4у…

A: Given:y"+5y'+4y=0,  y(0)=1, y'(0)=0Laplace transform:Ly"=s2Ys-sy0-y'0Ly'=sYs-y0Ly=Ys

Q: 1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y=8e", y(0)…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform…

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Q: 3. Use the Laplace transform method to solve the initial value problem x₁ = 6x₁ + 11x2, x2 = −4x1-…

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Q: 11. DETAILS ZILLDIFFEQMODAP11 7.2.043. Use the Laplace transform to solve the given initial-value…

A: laplace transform

Q: 7-10 Use an appropriate form of the chain rule to find dw/dt. w = 5 cos xy - sin xz; x = 1/t, y = t,…

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Q: if m1 =1 , m2 =1, c=2, k1 =3, k2 =2 and all initial conditions are zero, how can I solve this by…

A: Here, m1=1kg, m2=1 kg, c=2 Ns/m and k1=3 N/m, k2=2 N/m. The differential equations can be re-written…

Q: Suppose an undamped forced spring mass system is driven by the equation d²x di² where the Fourier…

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Q: What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary s2-s+3…

A: The inverse Laplace transform of a function can be found by splitting it into partial fractions and…

Q: (-28 — 4)е s2 + 6s + 25 1. Calculate the inverse Laplace transform L-! 4e-2s (s +1)³.

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Q: y''-3y'+10y=e-2t , y(0) =0, y'(0)=1

A: We have to solve given problem:

Q: 8. Use the Laplace transform to solve the given initial-value problems. у" - 2у'+2у%3Dsinf, y(0) 3…

A: Given differential equation is  y"-2y'+2y = sin(t) , y(0) = 0, y'(0) = 0.

Q: 1- 4. Use Laplace transform technique to solve, y"+2y'+y= 4e given v(0) = 2 and y'(0) = -1

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Q: [2.] Solve the IVP yu+ 6y'+9y= e-*cos 2x COS2X t. Fed the Laolace transform

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Q: Consider the system of differential equations x'(t) +2y(t)= - 4t f x(0) = - 4 and y(0) - - 5 then…

A: Here we use properties of Laplace transform to find differential equation. The answer is given as…

Q: 7. Use the method of Laplace transform to solve the initial value problem y" – (a + B)y' + aBy = (a…

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Q: Зх- 1 | (*-9) dt Use Leibniz's rule to find for y = dx

A: Leibniz's Rule:ddx∫a(x)b(x)f(x,t)dt = f(x,b(x))·db(x)dx +  f(x,a(x))·da(x)dx - ∫a(x)b(x)∂f(x,t)∂xdt…

Q: Using the Laplace transform solve ²+2 + 2q = tH (t-3), where q(0) = 0, q'(0) = 0.

A: 1l

Q: 1 (5+3)(s+7) Laplace Inverse Transform of.

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Q: (3-c) Use Laplace transform to solve the given differential equation with the same initial…

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Q: 21.Consider the equation (35) ay′′+by′+cy=0,ay″+by′+cy=0, where a, b, and c are constants with a ≠…

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Q: Example 6.1 Express the following differential equation as an algebraic equation using the Laplace…

A: Given differential equation is x"(t)+x'(t)+x(t)=1

Q: In some instances the Laplace transform can be used to solve linear differential equations with…

A: Given problem ty"-y'=6t2       ;  y(0)=0

Q: In Problems : given initial-value problem. use the Laplace transform to solve the 34. y' – y = 2 cos…

A: to solve given initial value problem using Laplace transformation y'-y=2cos5t; y0=0

Q: 1. Find the Fourier Coefficients and Fourier Series of the square wave function defined by: if -7<x…

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Q: 4. When solving a differential equation using the Laplace transform, you apply the Laplace transform…

A: We use Laplace transform formula to find Y(s).

Q: 8. Use the method of Laplace transform to solve the initial value problem y" - 2ay' + a²y = (a - 3)²…

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