# Differential Equation problem?

## Homework Statement

Consider the differential equation dy/dx= (y-1)/x^2 and x does not equal 0
a. Find the particular solution y = f(x) to the differential equation with the initial condition f(2)=0
b. For the particular solution y = f(x) described in part a, find the limit as x goes to infinity of f(x)

none

## The Attempt at a Solution

not really sure where to begin.

Thank you so much!!!!

rock.freak667
Homework Helper
It is a separation of the variables type DE, can you solve one like that?

Try to get the dx and x together and then integrate

dy/dx= (y-1)/x^2

rearranging the equation, you will get...

∫1/(y - 1) dy = ∫1 / (x^2) dx