# reduction of order?

• Sep 1st 2006, 06:06 PM
action259
reduction of order?
i'm looking at a question that asks to reduce the following second order equation to a frist order and find the solution

y"+y'=x+1

does this mean reduction of order?
• Sep 1st 2006, 11:56 PM
CaptainBlack
Quote:

Originally Posted by action259
i'm looking at a question that asks to reduce the following second order equation to a frist order and find the solution

y"+y'=x+1

does this mean reduction of order?

It means put $v=y'$, then the equation becomes:

$
v'+v=x+1
$

which is of first order rather than second.

RonL