Finding m for Solution of Differential Equation y = e^{mx}

[KillerZ]

Homework Statement

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

Homework Equations

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

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

 

[Mark44]

Check it and see. You've already done all the hard work, and checking is a simple matter of seeing whether y = e^2x/5 satisfies your differential equation.

 

[KillerZ]

Ok, Thank you.