- 51
- 31
We are studying 2nd and 3rd order differential equations in class, and have touched on superposition and were talking about an equation being linearly dependent or independent. I received some good explanations from tutors about this, using vectors as examples, but I'm still a bit unclear on the concept. I'm really trying to think of a way to make the question more specific, but I don't know that I have a good enough grasp conceptually to do that. I do know that I have this one question nagging me, though:
What does linear dependence or independence mean to an nth order constant coefficient non-homogeneous ODE?
What does linear dependence or independence mean to an nth order constant coefficient non-homogeneous ODE?