The differential equation representing family of curves y = e^-2x(a x + b x), where a and b are arbitrary constant, is : Option 1: d^2 y/dx^2 + y^2 = 0 Option 2: d^2 y/dx^2 + 4 dy/dx + 5y = 0 Option 3: d^2 y/dx^2 - 4 dy/dx - 5y = 0 Option 4: d^2 y/dx^2 - y^2 = 0

The answer is 'd^2 y/dx^2 + 4 dy/dx + 5y = 0'. View full solution:

CUET Mathematics - The differential equation representing family of curves y = e^-2x(a x + b x), where a and b are arbitrary constant, is : | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Calculus

Medium

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

$\frac{d^2 y}{dx^2} + 4 \frac{dy}{dx} + 5y = 0$

$\frac{d^2 y}{dx^2} - 4 \frac{dy}{dx} - 5y = 0$

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

✅ Correct Option: 2

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