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First order differentials

  1. Nov 26, 2012 #1
    solve dy/dx = x(1-x)

    I got y = (x^2)/2 - (x^3)/3 + C

    however in the solutions they've gotten:

    259y0kp.png

    where did t come from?
     
  2. jcsd
  3. Nov 26, 2012 #2
    It came when they integrated dt on the right hand side, 2 steps above where you marked the solution.
     
  4. Nov 26, 2012 #3

    Dick

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    It looks to me like there is a typo in the problem. y disappeared! I think they meant the derivative to be dx/dt, not dy/dx. Your solution to dy/dx=x(1-x) is correct.
     
  5. Nov 26, 2012 #4
    Oh nice spot!
     
  6. Nov 26, 2012 #5
    Yeah it definitely looks like the problem was supposed to be dx/dt
     
  7. Nov 26, 2012 #6
    thanks guys
     
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