Dsolve Perturbation n'(1-epsilon(u')^2)=-y with mathematica

[rodiena]

n'(1-epsilon(u')^2)=-y perturbation problem

u₀(1)=0 u₁(1)=0 boundary conditions

u=u₀₊epsilon(u₁) direct opening
u'=(u_0)'+epsilon(u₁)'

I need solve perturbation problem with mathematica program

 

[Deleted member 4993]

n'(1-epsilon(u')^2)=-y perturbation problem

u₀(1)=0 u₁(1)=0 boundary conditions

u=u₀₊epsilon(u₁) direct opening
u'=(u_0)'+epsilon(u₁)'

I need solve perturbation problem with mathematica program

Most of us do not have access to Mathematica.