Solution: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C.

Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C.

Problem Statement: ECE Board November 1998

Find the equation of the family of orthogonal trajectories of the system of parabolas y2 = 2x + C.

Problem Answer:

The equation of the family of orthogonal trajectories of the system of parabolas is y = Ce-x

Solution:

Online Questions and Answers in Differential Equations


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