I'm having issues with this (I'm sure very basic) example:
y'' - y' + 2y^2(1 - y) = 0
Find a value of the constant a s.t. y = (1 + e^(ax))^-1 is a solution of this equation.
I assumed I would be able to work out y'' and y', plug into the equation and solve for a but this doesn't seem to work.
Any ideas please?