Program to solve Differencial equations

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For solving differential equations related to moving electrons on a Linux cluster, several software options are recommended. Free alternatives like Octave and SciLab are comparable to Matlab and can effectively handle such computations. However, if a licensed option is preferred, Matlab is a robust choice, though it requires purchasing a license.
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My physics teacher told me he needs a program to solve differential equations from moving electrons on a linux cluster.Can somebody give me some ideas.What program is good, even if its copyrighted it doesn't mather because the teacher will buy it , its for school.

Thanks in advance!
 
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Octave, SciLab are free Matlab type programs that can be used to solev differential equations on a Linux machine.

Otherwise Matlab, but you need to purchase a license for that.
 

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