1.) Determine the laplace transform of the following functions: y" – 3y' + 4y = 0; y(0) = 1, y'(0) = 5 %3D

Q: (b) x' + 2y' + x = 0, x' − y' + y = 0, x(0) = 0, y(0) = 0 -

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Q: Solve the equation using Laplace transform y" - 6y' +9y t²e³t, y(0) = 2, y'(0) = 6. =

A: Introduction: There are many different ways that are applied to solve an initial value problem. One…

Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…

Q: Determine the Laplace transform of the function. a) L[5e" cos(31)]- b) L[8'U₂(1)]-

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Q: 1. If you have 15 students in your class, can there be at least 2 who have the same birthday month,…

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Q: Find the Laplace transform of: y" + 5y- y = et - 1; y(0) = 1, y'(0) = 1

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Q: Find the cosine transform fe(w) of f(x) for f (x) = -6 if 0 2. f.(w) %3D

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Q: 3) Determine the inverse Laplace Transform. where f = L{F}. 4 F(s) = In s- 3, %3D

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Q: Please help me find the laplace transform of the following equation: 0.00174y''+0.295y'+25y=200u(t)…

A: If Ys is Laplace transform of yt. Then Laplace transform of y' and y'' when y(0)=0, y'(0)=0 is sYs…

Q: Determine the Laplace transform of the function. a) [4+sin(31)+5e²]- b) Z[6r'+2t’e" +sinh(4)].

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