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

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

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

CUET Mathematics 2026 29th May Shift 2

Calculus

Easy

common

$y = \log_e|x^2+1| + C$

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

$\frac{y^2}{2} = \frac{x^3}{3} + x + C$

$y = \frac{x^2}{2} + \log_e|x| + C$

✅ Correct Option: 2

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