3. Solve the wave equation,
∂2u/∂t2 = c2(∂2u/∂x) -∞ < x < ∞
With initial conditions, u(x,0) = (1/x2+1)sin(x), and ∂u/∂t(x,0) =
x/(x2+1)
Mathematics Homework Solutions
#167301
A solution of the wave equation using D'Alembert's solution
Solve the wave equation subject to the initial conditions u(x,0)=sin(x)/(x^2+1), du/dt(x,0)=x/(x^2+1)
The solution is a step-by-step account comprising one page of Word, with mathematical formulae written in Mathtype.
Included is a derivation of D'Alembert's solution of the wave equation, followed by it's application to a particular problem.
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