Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y = x1 + 14kx

Question

Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y = x1 + 14kx
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Solution 1

To find the orthogonal trajectories of the family of curves, we first need to find the derivative of the given family of curves.

The given family of curves is y = x1 + 14kx.

Step 1: Differentiate the equation with respect to x.

dy/dx = d/dx (x1 + 14kx) = 1 + 14k

Step 2: The orthogonal traject Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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