The general solution of the differential equation x(x^2-1)dy/dx = 1 is: [Where C is an arbitrary constant] Option 1: y = 1/2_e|x^2-1/x^2| + C Option 2: y = |x^2(x^2-1)| + C Option 3: y = e^x^2(x^2-1) + C Option 4: y = x^2-1/x^2 + C

The answer is 'y = 1/2_e|x^2-1/x^2| + C'. View full solution:

CUET Mathematics - The general solution of the differential equation x(x^2-1)dy/dx = 1 is: [Where C is an arbitrary constant] | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Calculus

Medium

common

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

$y = \log|x^2(x^2-1)| + C$

$y = e^{x^2}(x^2-1) + C$

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

✅ Correct Option: 1