If you have DE 2y''+5y'-3y=0 can you solve it as second order linear DE or as a system od DE?

Question

mr.math · Answer

second order linear DE.

mr.math · Answer

It's also homogeneous.

mr.math · Answer

You know the auxiliary equation associated with homogeneous DE?

anonymous · Answer

i know, but in this exam i have to solve it as system, i solve it as linear and it was ok...im just wondering if every DE wich i should solve it in system can be solved in linear?

mr.math · Answer

Why would you solve it as a system? You only have one DE in one dependent variable y. I don't understand!

anonymous · Answer

you can write it  as 
x1' = x2
x2'= y''=1/2(3x1-5x2)

mr.math · Answer

Why would you need to do that?

anonymous · Answer

i dont know, i just have to do it...its easier for me to solve it as linear

mr.math · Answer

It's easier for everyone!