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## Homework Statement

Final round I promise!!!!

Is there some sort of trick that can be applied to the following equation so that it is easier to process?

[tex]\frac{dy}{dt}=\frac{1}{t+y},\:y(-1)=0[/tex]

## The Attempt at a Solution

Somebody told me that the equation can be made easier by reinterpreting it with y as the independent variable and t as the dependent variable. I still have a vacant look about my face now as I did back then.

I know that [tex]\frac{dy}{dt}=\frac{1}{\frac{dt}{dy}}[/tex] but when I try to apply it to my initial equation, I get the same thing I started with.