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

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

Solution steps

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x}

y = c_{1} e^{x} + c_{2} e^{- x}

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