# Fundamentals set of solutions vs regular solutions

I was wondering what the difference between fundamental sets of solutions and regular solutions is when speaking about ordinary differential equations.

Thank you.

• Could you expand a bit? The title and body of the question don't even match. – Arnaud Mortier Nov 8 at 14:05
• @ArnaudMortier I don't understand why the procedure for finding a fundamental set of solutions is different then solving a regular IVP – Alex.G Nov 8 at 14:07

Not to be mixed up with "the" general solution, which looks like a solution but is expressed in terms of parameters : if $$u_1,u_2$$ together make a fundamental set, then $$a_1u_1+a_2u_2$$ is the general solution (where $$a_1$$ and $$a_2$$ are arbitrary parameters).