# Differential Equation Find m

1. Sep 18, 2009

### KillerZ

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

Find the values of m so that the function $$y = e^{mx}$$ is a solution of the given differential equation.

2. Relevant equations

$$y = e^{mx}$$
$$5y^{'} = 2y$$

3. The attempt at a solution

I am not sure if this is right:

$$y^{'} = me^{mx}$$

$$5y^{'} = 5me^{mx}$$
$$2y = 2e^{mx}$$

$$2e^{mx} = 5me^{mx}$$

$$2 = 5m$$

$$m = 2/5$$

2. Sep 18, 2009

### Staff: Mentor

Check it and see. You've already done all the hard work, and checking is a simple matter of seeing whether y = e2x/5 satisfies your differential equation.

3. Sep 18, 2009

### KillerZ

Ok, Thank you.