A flexible stretched string is constrained to move with zero slope at one end x=0, while the other end x= L is held fixed against any movement. Find an expression for the time-dependent motion of the string if it is subjected to the initial displacement given by y(x, 0) = y, cos 2L and is released from this position with zero velocity.

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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.