Differentiation calculus?

Question

Show that y=sinkθ satisfies the differential equation,

d²y/dθ² + k²y = 0

10pts given to first correct answer with clear working, Thanks in advance :)

Answer 1

G'day Mate,

y(x) = sin(kx)

dy/dx =kcos(kx)

d2y/dx2 = -k^2sin(kx)

            =-k^2y(x)

Thus

d2y/dx2 + k^2y(x) = 0

Hope this helps,

David