What is the solution for (d^2y)/(dx^2)=-6y ?

The solution for (d^2y)/(dx^2)=-6y is y=c_{1}cos(sqrt(6)x)+c_{2}sin(sqrt(6)x)

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(d^2y)/(dx^2)=-6y

\frac{d ^{2} y}{d x ^{2}} = - 6 y

y = c_{1} cos (6 x) + c_{2} sin (6 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} = - 6 y

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x)

What is the solution for (d^2y)/(dx^2)=-6y ?
The solution for (d^2y)/(dx^2)=-6y is y=c_{1}cos(sqrt(6)x)+c_{2}sin(sqrt(6)x)