# Homework Help: Diff Equation with one solution?

1. May 12, 2010

### >Modx<

1. The problem statement, all variables and given/known data

Hi guys, my question is from a book on differential equation. It asks me to give a differential equation that has only a trivial solution, y = 0.

2. Relevant equations

3. The attempt at a solution

I give it some thought and I can only think of a diff eq'n of y' = y, however, in this case y = e^x will also be a valid solution but not a trivial one. So I am not so sure if this is what the question wants, or there is a diff eq'n that has only one solution which is y =0. Thank you in advance.

2. May 12, 2010

### CompuChip

Well, you said "y = 0", isn't that a valid answer?
If you insist that it contains derivatives of higher order than 0, you can easily adapt it (but you need boundary conditions).

3. May 12, 2010

### Staff: Mentor

y' = y; y(0) = 0
This initial-value problem has only one solution.

4. May 12, 2010

### >Modx<

Oh ok .... that will do ... Thank you Mark44 and CompuChip.