Question

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

Answer 1

Try this:
$\frac{dy}{dt}=1-y^2; \ =\ \textgreater \ \ \frac{dy}{y^2-1}=-dt; \ =\ \textgreater \ \ ln| \frac{y-1}{y+1}|=-2t+C.$
If it is possible, modify result to form more compact.