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**1. The problem statement, all variables and given/known data**

**1. The problem statement, all variables and given/known data**

Solve [tex] \frac{dz}{dt} + 3 t e^{t+z} = 0 [/tex]

**2. Relevant equations**

None that I can think of...

**3. The attempt at a solution**

"Rearranging" the given question, we get:

[tex] \int \frac{dz}{e^z} = -3\int t e^t dt [/tex]

[tex] -e^{-z} = -3 \left( t e^t - e^t \right) + C [/tex]

[tex] e^{-z} = 3 \left( t e^t - e^t \right) + C [/tex]

[tex] z = - ln \left( 3 t e^t - 3 e^t + C \right) [/tex]

Is this all correct? The system into which I need to enter this answer is saying im wrong :(