The differential equation of the family of curves y = a (bx + c), a and c are parameters, is : Option 1: d^2y/dx^2 + b^2 y = 0 Option 2: dy/dx + b^2 y = 0 Option 3: d^2y/dx^2 - b^2 y = 0 Option 4: d^2y/dx^2 + y = 0

The answer is 'd^2y/dx^2 + b^2 y = 0'. View full solution:

CUET Mathematics - The differential equation of the family of curves y = a (bx + c), a and c are parameters, is : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Medium

$\frac{d^2y}{dx^2} + b^2 y = 0$

$\frac{dy}{dx} + b^2 y = 0$

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

$\frac{d^2y}{dx^2} + y = 0$

✅ Correct Option: 1