Can You Solve this Differential Equation and Verify Its Solutions?

[jkh4]

How to do this integral?

dy/dx = (y^2 - 1)/x

a) Give the general equation of the curves that satisfy this equation

b) Show that the straight lines y=1 and y=-1 are also solutions.

Thank you!

 

[mathman]

dy/(y^2-1)=xdx
Proceed from there (integrate).

 

[moose]

b) what is the derivative of a straight line? is it equal to what the diff eq tells you about it?