Treacherous Euler-Lagrange equation(y′)2=2(1−cos(y)) where y is a function of x subjected to boundary conditions y(x)→0...
Treacherous Euler-Lagrange equation
where y is a function of x subjected to boundary conditions , how might I find all its solutions?
Answer & Explanation
which implies . After substitution this translates into which is the pendulum equation. Your boundary condition require that . Hence the solution is not periodic.