Solve the following wave equation on the interval [0,T] Utt - c²Uxx = 0, x = [0, π] U(0,t) = 0, U(x,t) = 0 U(x, 0) = 0, Ut(x, 0) = = -12c. cos(x).
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Can you help with this question
![Solve the following wave equation on the interval [0,T]
Utt - c²Uxx = 0, x = [0, π]
U(0,t) = 0, U(x,t) =
0
U(x, 0) = 0, Ut(x, 0) = = -12c. cos(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2437b9d-e2ad-49ef-bf1e-5f1a1e22adaa%2Fbdfdc916-7592-49e2-8d51-a8d0d9ea58b7%2F2b1darg_processed.jpeg&w=3840&q=75)
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- A particle is moving with velocity V(t) = ( pi cos (pi t), 3t2+ 1) m/s for 0 ≤ t ≤ 10 seconds. Given that the position of the particle at time t = 2s is r(2) = (3, -2), the position vector of the particle at t is?(b) Solve the inhomogeneous wave equation on the real line Utt-c²Uzz = sin x, x ER U(x,0) = 0, Ut(x, 0) = 0. Explain what theory you are using and show your full computations.Answer both remaining part in 10 minutes in the order to get positive feedback
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