# 2nd Order Homogeneous, Real Roots, Initial Value

1. Jul 6, 2015

### RyanTAsher

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

Solve the initial value problem

2. Relevant equations

3. The attempt at a solution

My problem is that I don't understand how to solve the constants now, I understand, 2 equations, 2 unknowns, but when I plug the y(0) = 0 into the YsubH equation, everything cancels out, I can't solve for anything. I don't see anyway to cancel anything in the equations either to make it not equivalent to 0, or to be able to solve it.

2. Jul 6, 2015

### Staff: Mentor

For simple differential equations such as this, it's better to type the equation and initial condition than to post an image. What I see is a thumbnail that shows "0, y". I have to click the image to see the full image.

Your solution looks fine to me. Your error is in how you evaluated it. Note that e0 = 1, so you get $c_1 + c_2 = 0$ for your first equation, so everything does not cancel out.