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Form differential equation by substituition

  1. Mar 20, 2016 #1
    1. The problem statement, all variables and given/known data
    dy/dx = (x-y+2) / (x+y-2) , by using x=X and y=Y+2 , form a differential equation .

    2. Relevant equations

    3. The attempt at a solution
    the author gave the answer as (Y^2) +(2XY) -(X^2)+A= 0 , while my answer is (Y^2) +(2XY) -(X^2)+A(X^4)= 0
    is there anything wrong with my answer?
  2. jcsd
  3. Mar 20, 2016 #2


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    Science Advisor
    Homework Helper

    Hint: check how you applied the rule ##\log a - \log b=\log \frac{a}{b}##.
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