Show that the general solution to the differential equation: dy/dx = x/(k-y) can be written in the form x ² + (y - k)² = c.

Question

Show that the general solution to the differential equation: dy/dx = x/(k-y) can be written in the form x ² + (y - k)² = c.
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Solution 1

Sure, let's solve this differential equation step by step.

  1. First, we rewrite the differential equation in the form of separable variables. The given differential equation is dy/dx = x/(k-y). We can rewrite this as (k-y) dy = x dx.

  2. Now, we integrate both sides of the equation. The integral of 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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