Homework Statement
Solve the separable equationHomework Equations
dy/dx = 1-y^2The Attempt at a Solution
dy/dx = 1-y^2
1/(1-y^2) dy = dx
[Partial fraction]
A/(1-y) + B/(1+y) = 1/(1-y^2)
A + Ay + B - By = 1
y^1: A - B = 0
y^0: A + B = 1
=> A=B=1/2 =>
(1/2)/(1-y) dy + (1/2)/(1+y) dy = dx...