I have the following equation: $${\frac {\partial }{\partial y}} \left( \alpha\, \left( y \left( x \right) \ln \left( y \left( x \right) \right) + \left( 1-y \left( x \right) \right) \ln \left( 1-y \left( x \right) \right) +\omega \left( y \left( x \right) \left( 1-y \left( x \right) \right) \right) \right) \right) ={\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right)$$
we have to boundary condition y(-infinity) = 0, y(+infinity) = 1.
α and ω are constant.
Is there any analytical solution to solve that differential equation.