# Math Help - Second order ordinary differential equation.......

1. ## Second order ordinary differential equation.......

this is really annoying as i dont know what this question is asking and this coursework is in for TOMORROW
its only worth 3 marks out of 50 so it makes me feel dumb....

anyway the question is:

du^2/dx^2 + 2(du/dx) + x.u = (x^2 - 2)e^-2(x-1)

it says rewrite as a system of first order differential equations

what does THIS MEAN??

any help appreciated
thanks
Marek

2. We may write

$
\displaystyle
\frac{du}{dx}=v
$

and the initial equation becomes

$
\displaystyle
\frac{dv}{dx}=-2v-xu+(x^2-2)e^{-2(x-1)}
$