What is the solution for f^{''}(x)=7e^{-x}-8e^{-7x} ?

The solution for f^{''}(x)=7e^{-x}-8e^{-7x} is f(x)=7e^{-x}-8/49 e^{-7x}+c_{1}x+c_{2}

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f^{''}(x)=7e^{-x}-8e^{-7x}

f^{^{''}} (x) = 7 e^{- x} - 8 e^{- 7 x}

f (x) = 7 e^{- x} - \frac{8}{49} e^{- 7 x} + c_{1} x + c_{2}

Solution steps

f^{''} (x) = 7 e^{- x} - 8 e^{- 7 x}

Solve

f^{''} (x) = 7 e^{- x} - 8 e^{- 7 x} : f^{'} (x) = - 7 e^{- x} + \frac{8}{7} e^{- 7 x} + c_{1}

Solve

f^{'} (x) = - 7 e^{- x} + \frac{8}{7} e^{- 7 x} + c_{1} : f (x) = 7 e^{- x} - \frac{8}{49} e^{- 7 x} + c_{1} x + c_{2}

f (x) = 7 e^{- x} - \frac{8}{49} e^{- 7 x} + c_{1} x + c_{2}

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What is the solution for f^{''}(x)=7e^{-x}-8e^{-7x} ?
The solution for f^{''}(x)=7e^{-x}-8e^{-7x} is f(x)=7e^{-x}-8/49 e^{-7x}+c_{1}x+c_{2}