Question

find dy/dx if x = y²/2y + 1​

Answer 1

Explanation:

Given, x²+y² = 1

Differentiating w.r.t x,

2x+2y(y') = 0

⇒ x+y(y') = 0

Again differentiating w.r.t. x, we get

1 + y(y′′) + (y')(y′) = 0

1 + y(y′′) + (y′)² = 0