As we have seen, it was possible to get a solution but the shooting method became quite unstable. A much faster, yet less comprehensible approach is to use Wolfram Mathematica. It is a very elegant and easy to use tool. I have used it a lot in my studies. To give you an appetizer I have added the next lecture. You can find many more examples in my course "Wolfram Mathematica Masterclass: from Beginner to Expert".