AndrewCJewell1812 AndrewCJewell1812
  • 19-09-2018
  • Mathematics
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Find orthogonal trajectories of the family of curves. Identify orthogonal family y=ce^x

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altavistard
altavistard altavistard
  • 19-09-2018

1.  Find dy/dx for the given family:  dy/dx = ce^x

2.  Take the negative reciprocal of this result:  (-1/c)e^x

3.  Integrate this last result with respect to x:    (-1/c)e^x

    This last result is the desired orth traj of the family of curves y = ce^x.

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