How to solve this differential equation using Mathematica's Dsolve?

Ayoub Tamin · Feb 26, 2020

Handwritten differential equation on paper: [ -∂²/∂r² + (q/r²)∂/∂r + b/r² + c r² - d ] f(r) = 0, with a partial-derivative operator acting on f(r).

Dale · Feb 26, 2020

When asking for help troubleshooting code it is customary (and necessary) to post the code

Ayoub Tamin · Feb 26, 2020

Dale said:

When asking for help troubleshooting code it is customary (and necessary) to post the code

I'm actually so beginner in Mathematica, just want to know how to put the code in , idk what i did or what went wrong but i want to know the right way to it ù-ù

Ayoub Tamin · Feb 26, 2020

Mathematica notebook screenshot: input DSolve[-f''[r] + (q/(r^2)) f'[r] + b/(r^2) f[r] + c (r^2) f[r] - g f[r] == 0, f[r], r], with output DSolve[b f[r]/r^2 + c r^2 f[r] - g f[r] + q f'[r]/r^2 - f''[r] == 0, f[r], r].

here's my best try

Dale · Feb 26, 2020

Try putting a space between g and f

Ayoub Tamin · Feb 26, 2020

Dale said:

Try putting a space between g and f

Mathematica notebook showing In[16] DSolve[-f''[r] + (q/(r^2)) f'[r] + b/(r^2) f[r] + c (r^2) f[r] - g f[r] == 0, f[r], r] with a French comment, and Out[16] giving f[r] -> DifferentialRoot of a Function of y, x returning the ODE (-b - x^4 c + x^2 g) y[x] - q y'[x] + x^2 y''[x] == 0 with y[1] == c1 and y'[1] == c2.

thats what i got

Dale · Feb 26, 2020

Excellent! I guess that space was the only mistake then.

Ayoub Tamin · Feb 26, 2020

Dale said:

Excellent! I guess that space was the only mistake then.

Thank you sir

How to solve this differential equation using Mathematica's Dsolve?

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