Differential Equation problem?

  • Thread starter stupefy07
  • Start date
  • #1
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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)


Homework Equations



none

The Attempt at a Solution



not really sure where to begin.

Thank you so much!!!!
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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It is a separation of the variables type DE, can you solve one like that?
 
  • #3
328
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Try to get the dx and x together and then integrate
 
  • #4
181
0
dy/dx= (y-1)/x^2

rearranging the equation, you will get...

∫1/(y - 1) dy = ∫1 / (x^2) dx
 

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