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

The solution for (d^2f)/(dx^2)+(df)/(dx)=0 is f(x)=c_{1}+c_{2}e^{-x}

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(d^2f)/(dx^2)+(df)/(dx)=0

\frac{d ^{2} f}{d x ^{2}} + \frac{df}{d x} = 0

f (x) = c_{1} + c_{2} e^{- x}

Solution steps

\frac{d ^{2} f}{d x ^{2}} + \frac{df}{d x} = 0

Solve linear ODE:

f (x) = c_{1} + c_{2} e^{- x}

f (x) = c_{1} + c_{2} e^{- x}

What is the solution for (d^2f)/(dx^2)+(df)/(dx)=0 ?
The solution for (d^2f)/(dx^2)+(df)/(dx)=0 is f(x)=c_{1}+c_{2}e^{-x}