Implicit Differentiation #2

Question

Assume that the function  is defined implicitly as a function of  by the given equation. Use the technique of implicit differentiation to find a differential equation for which  is a solution.

Answer 1

I will do the differentiation for you; you collect the terms to get the answer

2(x² + y²)[2x + 2(dy/dx)] = 9[2xy(dy/dx) + y²]