Use the Laplace Transform to solve the given initial value problem. y(4) - 4y = 0; y(0) = 1, y'(O) = 0, y"(0) = -2, y" (0) = 0 Oy=sin(sqrt2 t) O y = -sin(sqrt2 t) Oy -cos(sqrt2 t) O y = cos(sqrt2 t)

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Q: Use the Laplace Transform to solve the given initial value problem. y(4) - 4y=0; y(0) = 1, y'(0) =…

A: The given initial value problem is y4-4y=0; y0=1, y'0=0, y''0=-2, y'''0=0 We have to find the…

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Q: 2. Find the centroid of the area bounded by y = x³, x = 2 and the x- axis.

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Q: iven:  A = 1  Y= 52  X= 215 B = 5 19) Usingforward high accuracy formula , find the first…

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Q: Let y' = Ay be a system of differential equations where A = 0 The matrix has spectrum X(A) = {-4}…

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Q: Solve the given initial-value problem. 3 -1,y) = ²/₁-2 y" + 4y = -1, y =

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Q: a) Give a recursive algorithmto solve the following recursive function (hint: use Fibonacci as a…

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Q: a) Solve the recurrence relation an = 4an-1 for any integer n>0 with initial condition a0= 64. b)…

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Q: Use the substitution y = vx to solve the differential equation below. dy 8y dx X + COS y 8 X…

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