Solve the IVP: y' = y + y^3 , y(0)=1
just separate the variables:
dy/(y+y^3) = dx
then use partial fractions to integrate
then plug in y(0) = 1 to find the constant.
dy/(y+y^3) = dx
then use partial fractions to integrate
then plug in y(0) = 1 to find the constant.