Recent content by Portal.Leaf

  1. Portal.Leaf

    Obtain the differential equation of the family of plane curves

    Thanks! I'll be working on it now. :) UPDATE: I followed your instructions and had a lot of substitutions. Finally, I got it right! Thank you so much!
  2. Portal.Leaf

    Obtain the differential equation of the family of plane curves

    Homework Statement Obtain the differential equation of the family of plane curves described: Circles tangent to the x-axis. Homework Equations (x-h)^2 + (y-k)^2 = r^2 The Attempt at a Solution I tried to answer this question using the same way I did on a problem very similar to this...
  3. Portal.Leaf

    Elimination of Arbitrary Constants (Differential Equations)

    Thanks for all your replies. 1MileCrash was right. The answer is indeed y''' = 0. Thanks for helping me check my answer!
  4. Portal.Leaf

    Elimination of Arbitrary Constants (Differential Equations)

    Homework Statement Eliminate the arbitrary constants of the equation: ax2 + bx + cHomework Equations (Concept) According to my instructor, having n arbitrary constants makes an nth-order differential equation.The Attempt at a Solution I tried to differentiate 'til I get a third derivative so I...
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