Consider a vibrating string of length 25 cm. Assume that a wavy force of f(t) = 5 cos (0.8t) is continuously applied at the right end and the left end of the string is fixed. If the initial displacement is h(x) = sin(0.5x) and the initial velocity is 0.7 cm/s. Write the mathematical model of the problem (DO NOT SOLVE!!!):

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