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## Homework Statement

well the problem is to solve de following differential equation.

##y'^3+(x+2)e^y=0##

## Homework Equations

##y'=dy/dx=p##

## The Attempt at a Solution

I got this problem in my test today, an i did it just like it is in the image below, but my teacher wasn't sure that it was a correct way of solving it, i would like to know if it is, and if it's not and how to solve it them.

I got this from a book of solutions of de T.Mackarenko, and I think is right but i know that the constant in the end when you have integrated has to show the highest power of ##p## in this case 3, but also i don't know if in this case it changes because i made it a different equation in which ##p## was to the power of 1. Thank you

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