consider the following initial valve problem: 173 +30 193=118 +₁1/ +814 10₁ + >4 Y(0) = 2, y'(01=0 Find the equation you get by taking the laplace transform and solve for Y(5)=

Q: Suppose solving an equation by Laplace transform results in Y(s) = s2 + 64' Evaluate y(7).

A: We have to solve given problem:

Q: y" + 4y' + 3y = x² Solve this equation using Laplace transform

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Q: Q1/ Solve the following equation using Laplace Transform, when y(0) =0, and y =2 y-3y+2y3D2t

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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 the following Initial Value Problem using Laplace transform: y" – 15y + 14y= e" -10t y(0) = 1,…

A: We are given that;y''-15y'+14y =e-10t; y(0)=y'(0)=1Taking laplace transforms on both the sides;s2…

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te * sinh3t.

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Q: 5. Calculate the double integral f, 2x cos(xy) dA , R = [0,2] × [0, 7]

A: We need to compute the value of the double integral ∫02∫0π2xcos(xy)dydx. Since, this is simple…

Q: Use Laplace transform to solve the following IVP y′′(t) = 4y(t) −e^(−t)U(t −1), y(0) = y′(0) = 0.

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Q: 10) Use the Laplace transform to solve the given initial-value problem. y'-y = 2 cos (3t) when y(0)…

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Q: Solve y"+y=2t, y 4)=(4)=2-√2 by using Laplace transform. of f/x)=1/x/x²2² +01 Find the courier Sine…

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Q: Solve the following with 3 decimal places if necessary. 1. Solve the following initial value…

A: NOTE: Hi! Thank you for your question. As per the honor code we are allowed to solve one question…

Q: · y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0

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

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Q: When the Laplace transform is used to solve the IVP: y' +5 y=314, y(0) = 2 1/4+ the following…

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Q: dy = e*; y(0) = 2, using the method by Laplace transform. Solve Ans. et +1

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Q: By using Laplace transform to solve y + y = sinht with y (0) = -1, what would the particular…

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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: 1. (a) Solve the following equations by using Laplace transform; i.) d?x/dt² + 4 dx/dt + 3x = 2 x(0)…

A: Given

Q: Evaluate the following: L-1{ (5s - 2) / (s2 (s + 2)(s - 1)) } ^this is inverse laplace…

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Q: Using Laplace Transform, solve the following initial value problem Зу' - 4y — sin 2t У) --

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

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Q: y" - y = 26(t-1), y(0) = 1, y'(0) = 0.

A: According to the given information, it is required to solve the initial value problem using laplace…

Q: Suppose solving an equation by Laplace transform results in 9 s Y(s) = s2 + 49' Evaluate y(0).

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Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Use the three steps involved in using the Laplace Transform method for solving IVPs to solve the IVP…

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Q: Solve the following with 3 decimal places if necessar 1. Solve the following initial value problems…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…