Solve the wave equation using Fourier Transform: ou o'u , -∞0 %3D u(x, 0) = 0 u, (x, 0) = e 23| O a. 46 u (x, 1) = Real sin wt ew*dw *) %3D w 529 + w Ob. įw* dw u (x,t) = Real sin wt le w[ 529 + w] O C No correct answer Od. 8. 46 u (x, t) = Real wx cos wt e*dw %3! w 529 + w Oe. u (x,f) = Real 46 iw* dw sin wt Je %3D w529 + w

Q: Utt = 16urg u(0, t) = u(7, t) = 0 u(x, 0) = f(x) = sin(x) – 4 sin(3) u(x, 0) = g(x) = sin(2a) 0 0 t…

A: We will solve the given wave equation by variable separable method.  Let u(x,t)=X(x)T(t) is the…

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Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

Q: Q5) Solve the wave equation for vibration of organ pipe subject to the boundary condition:

A: In this question, we solve the wave equation by using the method of separation of variables.

Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (5 e' cos…

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Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)-…

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx…

Q: Solve  using wave equation: u(0, t) = u(π, t) = u(x, 0) = 0, du/dt | t = 0 = sin(x)

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Q: 1. Find the tangent vector to the curve 6t r(t) = [t³ – t, t+1 , (2t + 1)*] at t = 1.

A: As per our guidelines we are supposed to answer only one question. If you want solution of any…