) Solve the initial value problem for y(t) using the method of Laplace transforms: 4y + 5y = 108(t - ), y(0) = 3, y(0) = -1 of the constants according to the table of

Q: 3y" + 6y + 3y = 9, y(0) = 0, /(0) = 6 %3D

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Q: Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = c{₁+ +…

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Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

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Q: Compute the Laplace transform. Your answer should be a function of the variables: L2+ u₂(t)e-³¹…

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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: Use Laplace transforms to solve the IVP y''-y=0, y(0)=2, y'(0)=3. Show the complete solution.

A: Given initial value problem is, y''-y=0, y(0)=2, y'(0)=3

Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: Find the complex transform of F(x) = e¬l\l, –∞ < x < ∞

A: Complex Fourier Transform or Fourier Transform: Let Fx be a function defined on R Then Complex…

Q: Find the inverse Laplace transforms: Y(s)=(2s+3)/((s+5)^2+4)

A: 2e−5t(4cos(2t)−7sin(2t))​Explanation:

Q: Use Laplace transform technique to solve y +2y +2y= e-, y(0) = - 4, y'(0) = - 2

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

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

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Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: Use Laplace transformations to solve the IVP y" – y' = 0 - y(0) = y'(0) = 1 Show the complete…

A: The detailed solution is given below Thank you

Q: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

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

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Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

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Q: y""-4y" +5y'-2y = 7t-5, y(0) = 0, y'(0) = 0, y"(0) = -2

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Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: Show that x(t) * u(t) x(t)dt %3D and find its Fourier transform.

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Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: t2, 0 2

A: We have to find the Laplace transform of the given function.