# Homework Help: Ordinary differential equation question

1. Jan 24, 2008

### real analyst

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

What is the general solution to the following ODE

F=X''m where F and m are both constants

2. Relevant equations

3. The attempt at a solution

I got X=(k/2)t^2 + C

I got this from F/M being just another constant K, and X'' being (d^2 X)/(dt^2) so you just integrate k twice with respect to t, the first giving kt, and the second giving (k/2)t^2 + C. Is this correct?

2. Jan 24, 2008

### ircdan

almost but not quite,

assuming m != 0, F = X''m => F/m = X'' , so X' = (F/m)x + C, say k = F/m, so

X' = kx + C, now integrate again,

X = kx^2/2 + Cx + D

3. Jan 24, 2008

### real analyst

yep, stupid mistake. thanks alot!!
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