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This problem is tough and will require very careful algebraic manipulation.
To have any chance of solving such equations requires you to look carefully at their structure and trial functional forms which have a chance of cancelling in the required way.
You will need to know about differential equations to be able to solve this problem.
The Real Hydrogen Atom
Age 16 to 18
Challenge Level 
This problem is tough and will require very careful algebraic manipulation.
To have any chance of solving such equations requires you to look carefully at their structure and trial functional forms which have a chance of cancelling in the required way.
You will need to know about differential equations to be able to solve this problem.
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