What is expand-(t+1/3)e^{-3t}+C ?

The solution to expand-(t+1/3)e^{-3t}+C is -e^{-3t}t-1/3 e^{-3t}+C

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expand-(t+1/3)e^{-3t}+C

expand

- (t + \frac{1}{3}) e^{- 3 t} + C

- e^{- 3 t} t - \frac{1}{3} e^{- 3 t} + C

Solution steps

- (t + \frac{1}{3}) e^{- 3 t} + C

= - e^{- 3 t} (t + \frac{1}{3}) + C

Expand

- e^{- 3 t} (t + \frac{1}{3}) : - e^{- 3 t} t - \frac{1}{3} e^{- 3 t}

= - e^{- 3 t} t - \frac{1}{3} e^{- 3 t} + C

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What is expand-(t+1/3)e^{-3t}+C ?
The solution to expand-(t+1/3)e^{-3t}+C is -e^{-3t}t-1/3 e^{-3t}+C