Question

The function \[ x+y=\tan^{-1}y \] is the solution of which of the following differential equations?

• A. \(y^2y'+y^2+1=0\)
• B. \(y^2y''-2y'=0\)
• C. \(y^2y'-y^2+1=0\)
• D. \(y^2-2y'+1=0\)

Hint:

While differentiating implicitly, remember that the derivative of \(y\) with respect to \(x\) is always written as \(y'\) or \(\dfrac{dy}{dx}\).

Answer 1

The Correct Option is A