Problem 2: Standing wave formula formation Problem description: Consider the one-dimensional wave equation: With the following conditions: ди д²и = c2 at² მჯ2 • Spatial domain: 0 < x < L • • Temporal domain: 0 < t≤T Wave speed c Initial condition: u (x,0) =sin(x) cos(2x) Boundary conditions: u(x, 0) = u (L,t) = 0 Task: Use finite differences to solve the wave equation and observe the formation of standing waves due to the given initial conditions. Explore the behavior of the wave over time.

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