Math Help - substitution for differential equation

1. substitution for differential equation

Thanks to anyone taking a look at this. Maybe I've been at it the homework too long, but I'm having trouble wrapping my mind around a initial value problem.

dy/dt = 2 / (y - t )
y(0) = 1
use substition u = y - t to solve

am I on the right track in thinking y = u + t, and therefore dy/dt = du/dt?

thank you.

2. $u=y-t\implies \frac{du}{dt}=\frac{dy}{dt}-1.$

Now substitute.

3. Originally Posted by Krizalid
$u=y-t\implies \frac{du}{dt}=\frac{dy}{dt}-1.$

Now substitute.
a big long "oooohhhhhh" right. thanks