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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.