What is the solution for f^'(t)=e^{-t}*(8-8t) ?

The solution for f^'(t)=e^{-t}*(8-8t) is f(t)=8e^{-t}t+c_{1}

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f^'(t)=e^{-t}*(8-8t)

f^{^{'}} (t) = e^{- t} \cdot (8 - 8 t)

f (t) = 8 e^{- t} t + c_{1}

Solution steps

f^{'} (t) = e^{- t} \cdot (8 - 8 t)

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (t) = \int e^{- t} (8 - 8 t) d t

\int e^{- t} (8 - 8 t) d t = 8 e^{- t} t + c_{1}

f (t) = 8 e^{- t} t + c_{1}

y^{^{'''}} = x^{4}

\frac{y ^{^{''}} + 1}{y ^{2}} = 0

y^{^{'}} - e^{4} x = 0

x \to 3 lim ((\frac{1 + 1}{x})^{x})

x \to 3 lim ((\frac{1 - 1}{x})^{x})

What is the solution for f^'(t)=e^{-t}*(8-8t) ?
The solution for f^'(t)=e^{-t}*(8-8t) is f(t)=8e^{-t}t+c_{1}