What is the solution for derivative of (dy/(dx))+4y=0 ?

The solution for derivative of (dy/(dx))+4y=0 is y=c_{1}cos(2x)+c_{2}sin(2x)

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derivative of (dy/(dx))+4y=0

\frac{d}{d x} (\frac{d y}{d x}) + 4 y = 0

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 y = 0

Solve linear ODE:

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

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

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\int_{0}^{3} x e^{- 2 x} d x

What is the solution for derivative of (dy/(dx))+4y=0 ?
The solution for derivative of (dy/(dx))+4y=0 is y=c_{1}cos(2x)+c_{2}sin(2x)