If e^y=x^x, then which of the following is true ? Option 1: y d^2 yd x^2=1 Option 2: d^2 yd^2-y=0 Option 3: d^2 yd x^2-d y/d x=0 Option 4: y d^2 yd x^2-d y/d x+1=0

The answer is 'y d^2 yd x^2-d y/d x+1=0'. View full solution:

CUET Mathematics - If e^y=x^x, then which of the following is true ? | PYQs + Solutions

CUET Mathematics 2024 16 May Shift 1

Calculus

Medium

applied

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

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

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

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

✅ Correct Option: 4