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## Main Question or Discussion Point

I am looking for help solving these two differential equations:

1. x'=-x

2. x'=x

The solutions are x(t)=e

I just don't understand what steps were being done to get those solutions. If someone could point me in the right starting point or show me some steps to get these solutions it would be much appreciated.

1. x'=-x

2. x'=x

^{2}, x(0)=x_{0}The solutions are x(t)=e

^{-t}x_{0}, and x(t)=x_{0}/(1-x_{0}t).I just don't understand what steps were being done to get those solutions. If someone could point me in the right starting point or show me some steps to get these solutions it would be much appreciated.