CUET Mathematics - Solution of the differential equation dy/dx = sqrt(1+x^2+y^2+x^2y^2) is: (Here C is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Hard

core

$\log\left|\frac{y+\sqrt{1+y^2}}{x+\sqrt{1+x^2}}\right| = C$

$\log\left|\frac{y+\sqrt{1+y^2}}{\sqrt{x}+\sqrt{1+x^2}}\right| = C$

$\log\left|\frac{y+\sqrt{1+y^2}}{\sqrt{x}+\sqrt{1+x^2}}\right| = \frac{x}{2}\sqrt{1+x^2} + C$

$\log\left|\frac{y+\sqrt{1+y^2}}{x+\sqrt{1+x^2}}\right| = \frac{x}{2}\sqrt{1+x^2} + C$

✅ Correct Option: 3

CUET Mathematics 2025 19 May Shift 1 PYQs