In problems dealing with IVPs and IBVPs for partial differential equations, start by identifying the type of equation and the corresponding parameters (e.g. "heat equation, ß = 3, L = 2π” or "wave equation, c = √√3"), the type of boundary conditions (e.g. "homogeneous Dirichlet boundary conditions" or "none") and the formula used for the solution. Solve the initial-boundary value problem: ди 3 მ-u Ət 4 მ2 u(0,t) = 0, u = 0 u(x, 0) = 6√2sin(2x) — 50 sin(4x) 0≤ x ≤ 1, t> 0 t> 0