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General solution of diffential equation

  1. May 2, 2014 #1
    1. The problem statement, all variables and given/known data

    i cant reduce the eq to y= (X+1)/(x+c ) , which part is wrong?

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. May 2, 2014 #2
    You already have it.
    [tex]y=\frac{c(1+x)}{1+c(1+x)}[/tex]
    Divide numerator and denominator by c:
    [tex]y=\frac{(1+x)}{(1+1/c)+x}[/tex]
    Let C = 1 + 1/c
    [tex]y=\frac{(1+x)}{C+x}[/tex]
    Chet
     
  4. May 2, 2014 #3
    can we straight sub C =1 + 1/c ? the c is the question not the original c (constant ) from the integrate( (dx/X+1)) ? dx ?
     
  5. May 2, 2014 #4
    Of course.

    Chet
     
  6. May 2, 2014 #5
    the c is the question the original c (constant ) from the integral ( (dx/X+1)) ? dx ? am i right?
     
  7. May 3, 2014 #6
    In your original solution, the choice of adding ln c as the constant of integration was not unique. You could just as easily have added a different constant, say c' (i.e., without the natural log), without affecting the correctness of the solution.

    Chet
     
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