What is the solution for (d^2)/(dx^2)y+64y=0 ?

The solution for (d^2)/(dx^2)y+64y=0 is y=c_{1}cos(8x)+c_{2}sin(8x)

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(d^2)/(dx^2)y+64y=0

\frac{d ^{2}}{d x ^{2}} y + 64 y = 0

y = c_{1} cos (8 x) + c_{2} sin (8 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 64 y = 0

Solve linear ODE:

y = c_{1} cos (8 x) + c_{2} sin (8 x)

y = c_{1} cos (8 x) + c_{2} sin (8 x)

What is the solution for (d^2)/(dx^2)y+64y=0 ?
The solution for (d^2)/(dx^2)y+64y=0 is y=c_{1}cos(8x)+c_{2}sin(8x)