Find the explicit finite difference solution of the wave equation Utt – Uzz = 0, 0 0, with the boundary conditions u (0, t) = u (1, t) = 0, t> 0, and the initial conditions u (x, 0) = sin ræ, ut (x, 0) = 0, 0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.