# Showing that some functions are solutions to a diff eq.

1. Feb 27, 2013

### Duderonimous

1. The problem statement, all variables and given/known data
Show that y1(t) and y2(t) are solutions to a certain differential equation.

2. Relevant equations

3. The attempt at a solution

I plug both of these into my diff. eq. and I got the same thing. How is this showing that they are solutions to a diff. eq.? What if I got a different answer when I plugged in each function, what would that mean?

I omitted the details because I thought this ws more of a concept question. THanks

I think I answered my own question, I took the derivative of the solns and they equaled what I got when I plugged the solns into the diff. eq. :)

Last edited: Feb 27, 2013
2. Feb 28, 2013

### SteamKing

Staff Emeritus
You are asking a very general question. Why don't you provide a complete problem statement along with your work?

3. Feb 28, 2013

### HallsofIvy

Staff Emeritus
What do you mean by "got the same thing". The question is whether the two functions separately satisfy the differential equation. When you put y1 into the equation are both sides the same?