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Simple Differential Equation

  1. Oct 7, 2014 #1
    1. The problem statement, all variables and given/known data

    The problem is Solve the following differential equation: dy/dx = 6*x*y/(3-x^2)

    2. Relevant equations

    Okay so I know the first step is integrating both sides and separating the variables

    3. The attempt at a solution

    So separating the variables and integrating I get integral of \int y*dy \ = integral of
    \int (6x)/(3-x^2) \, dx

    Using substation for the the x variable I get -3ln(-x^2+3) +c and for the y variable as just y(x).

    Now after this what is the next step. Should i rewrite the log natural as 1/(x^2-3)^2?
     
  2. jcsd
  3. Oct 7, 2014 #2

    Simon Bridge

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    Stop - you are there. Put LHS = RHS.
    But ##\int y\;dy \neq y##
     
  4. Oct 7, 2014 #3

    Mark44

    Staff: Mentor

    Separate the variables first before integrating.
    Check your algebra. The left side is NOT y * dy.
    You have a mistake in here as well.
     
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