1.

The differential equation\(\frac{{{d^2}y}}{{d{x^2}}} + 16y = 0\) For y(x) with the two boundary conditions \({\left. {\frac{{dy}}{{dx}}} \right|_{x = 0}} = 1\;and{\left. {\frac{{dy}}{{dx}}\;} \right|_{x = \frac{\pi }{2}}} = - 1\;\)

A. No solution
B. Exactly two solutions
C. Exactly one solution
D. Infinitely many solutions
Answer» B. Exactly two solutions


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