What is the solution for derivative of (dy/(dx))+y=0 ?

The solution for derivative of (dy/(dx))+y=0 is y=c_{1}cos(x)+c_{2}sin(x)

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derivative of (dy/(dx))+y=0

\frac{d}{d x} (\frac{d y}{d x}) + y = 0

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

Solution steps

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

Solve linear ODE:

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

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

What is the solution for derivative of (dy/(dx))+y=0 ?
The solution for derivative of (dy/(dx))+y=0 is y=c_{1}cos(x)+c_{2}sin(x)