What is the solution for (d^2y)/(dx^2)+a^2y=0 ?

The solution for (d^2y)/(dx^2)+a^2y=0 is y=c_{1}cos(ax)+c_{2}sin(ax)

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(d^2y)/(dx^2)+a^2y=0

\frac{d ^{2} y}{d x ^{2}} + a^{2} y = 0

y = c_{1} cos (a x) + c_{2} sin (a x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + a^{2} y = 0

Solve linear ODE:

y = c_{1} cos (a x) + c_{2} sin (a x)

y = c_{1} cos (a x) + c_{2} sin (a x)

What is the solution for (d^2y)/(dx^2)+a^2y=0 ?
The solution for (d^2y)/(dx^2)+a^2y=0 is y=c_{1}cos(ax)+c_{2}sin(ax)