The solution of the differential equation 9+y^2dy/dx=x^2 is : [Where C is an arbitrary constant] Option 1: 9y+y^3/3=x^3/3+C Option 2: x^3-y^3=27x+C Option 3: x^3-y^3=27y+C Option 4: 9y+x^3/3=y^3/3+C

The answer is 'x^3-y^3=27x+C'. View full solution:

CUET Mathematics - The solution of the differential equation 9+y^2dy/dx=x^2 is : [Where C is an arbitrary constant] | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Calculus

Medium

common

$9y+\dfrac{y^3}{3}=\dfrac{x^3}{3}+C$

$x^3-y^3=27x+C$

$x^3-y^3=27y+C$

$9y+\dfrac{x^3}{3}=\dfrac{y^3}{3}+C$

✅ Correct Option: 2