Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Calculus

Question:

If $e^y=x^x$, then which of the following is true?

Options:

$y \frac{d^2 y}{d x^2}=1$

$\frac{d^2 y}{d x^2}-y=0$

$\frac{d^2 y}{d x^2}-\frac{d y}{d x}=0$

$y \frac{d^2 y}{d x^2}-\frac{d y}{d x}+1=0$

Correct Answer:

$y \frac{d^2 y}{d x^2}-\frac{d y}{d x}+1=0$

Explanation:

The correct answer is Option (4) → $y \frac{d^2 y}{d x^2}-\frac{d y}{d x}+1=0$