A continuously distributed force of linear density Φ(x, t) = Φ(x) sin ωt is applied for t > 0 to a string 0 ≤ x ≤ l with fixed ends. Find the vibrations of the string; investigate the possibility of resonance.

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A continuously distributed force of linear density
Φ(x, t) = Φ(x) sin ωt
is applied for t > 0 to a string 0 ≤ x ≤ l with fixed ends. Find the vibrations of the
string; investigate the possibility of resonance.

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