# Math Help - O.D.E Conceptual Question

1. ## O.D.E Conceptual Question

I was wondering what you guys thought on this conceptual equation on O.D.E. It's something I have been struggling with, but I THINK it has something to do with linear independence. Could you chime in your two cents on the following?

2. ## Re: O.D.E Conceptual Question

(1) True. Choose $c_1=1,\;c_2=0$ and $c_1=0,\;c_2=1$. (2) True. Choose $y_h=0$. (3) False. Choose the equation $y'=1$, and $y_{p1}=x^2+x$, $y_{p2}=-x^2$.