What is the solution for derivative of (dy/(dx))+9y=0 ?

The solution for derivative of (dy/(dx))+9y=0 is y=c_{1}cos(3x)+c_{2}sin(3x)

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derivative of (dy/(dx))+9y=0

\frac{d}{d x} (\frac{d y}{d x}) + 9 y = 0

y = c_{1} cos (3 x) + c_{2} sin (3 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 9 y = 0

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x)

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y = (3 x - 4)^{5}

\frac{d}{d x} (ln (2 x + 1) - x^{2})

f (x) = csc^{2} (x)

\int_{1}^{2} \frac{11}{x ^{3} + 4 x} d x

What is the solution for derivative of (dy/(dx))+9y=0 ?
The solution for derivative of (dy/(dx))+9y=0 is y=c_{1}cos(3x)+c_{2}sin(3x)