Differential equation

  • Thread starter sedaw
  • Start date
  • #1
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Homework Statement



y`=(xy-y^2)/x^2

The Attempt at a Solution




y` = y/x -(y/x)^2

{y/x=z , y=zx , y`=z+xz`}

-z^2=x*dz/dx


-z^2dx = xdz


what`s next ?


TNX . :smile:
 

Answers and Replies

  • #2
35,287
7,140
Next is to move the -z^2 and x factors around so they are with, respectively, dz and dx. Then integrate.
 
  • #3
494
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To integrate that, you need your z's on one side and your x's on the other. Dividing through by x*z^2 should do the trick.
 
  • #4
62
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can u write cant understand .

TNX .
 
  • #5
62
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it`s o k .

TNX
 

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