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I'm a student at HS-level in DK, who has decided to write my annual large scale assignment on Schrödinger's equation. My teacher has only given us a brief introduction to the equation and has tasked us to solve it numerically with Euler's method for the hydrogen atom. He rewrote the equation on to a form I simply cannot seem to find online or anywhere else. My knowledge of using Euler's method for second-order ODEs is very sparse too. I have attached the equation. If someone can please help me understand, how I must use Euler's method on this specific form, I would be very thankful.

Thank you