Question

Find all solutions to the differential equation dy dt = 1 − y 2

Answer 1

Try this:

`(dy)/(dt)=1-y^2; \ =\ \textgreater \ \ (dy)/(y^2-1)=-dt; \ =\ \textgreater \ \ ln| (y-1)/(y+1)|=-2t+C.`
If it is possible, modify result to form more compact.