Question

solve
\[\frac{dy}{dx} = aiy\]

Answer 1

are a and i constants ?

Answer 2

rewrite equation
\[\frac{dy}{y} = ai (dx)\]
integrate both sides
\[\ln y = aix +C\]
\[y = Ce^{aix}\]

Answer 3

\[\huge y = Ccos(ax)+Cisin(ax) \]