Find the orthogonal trajectories

Thread starter manal950
Start date Feb 22, 2013
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Orthogonal Trajectories

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SUMMARY

The discussion focuses on finding orthogonal trajectories of a family of curves represented by the parameter "\lambda". Participants emphasize that to derive a general equation for the family of curves, it is essential to eliminate the parameter "\lambda" through differentiation. This process is crucial for understanding the relationship between the curves and their orthogonal counterparts.

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Understanding of differential calculus
Familiarity with parametric equations
Knowledge of orthogonal trajectories
Basic skills in mathematical notation

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Study the method of eliminating parameters in parametric equations
Learn about the concept of orthogonal trajectories in calculus
Explore examples of differentiating parametric equations
Investigate applications of orthogonal trajectories in physics and engineering

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Students and educators in mathematics, particularly those studying calculus and differential equations, as well as professionals applying these concepts in fields such as physics and engineering.

Feb 22, 2013

manal950

Hi all

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Feb 22, 2013

HallsofIvy

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Homework Helper

Start all over again! Each "\lambda" gives a different member of the family of curves. To have an equation that describes the family and not an individual member, you have to elimininate \lambda. That's the whole point of differentiating.