- #1
Faiq
- 348
- 16
Homework Statement
Why do we need two solutions to solve a 2nd order linear differential equation?
lets consider a differential equation with equal roots for auxiliary equation. So the reasoning behind why can't we use y=Aen1x+Ben2x
as its general solution is because since the roots are equal we get a single solution y=Cenx
. So my question is what's the problem with having one solution? After all it's A SOLUTION.