The differential equation of the family of curves y = p cos (ax) + q sin (ax), where p, q are arbitrary constants, is

1
\(\frac{{{d^2}y}}{{d{x^2}}} - {a^2}y = 0\)
2
\(\frac{{{d^2}y}}{{d{x^2}}} - ay = 0\)
3
\(\frac{{{d^2}y}}{{d{x^2}}} + ay = 0\)
4
\(\frac{{{d^2}y}}{{d{x^2}}} + {a^2}y = 0\)
5
None of the above

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