If y = 3e^2x + 2e^3x, then which one of the following is true ? Option 1: d^2y/dx^2 + 5dy/dx + 6y = 0 Option 2: d^2y/dx^2 - 5dy/dx + 6y = 0 Option 3: d^2y/dx^2 - 5dy/dx - 6y = 0 Option 4: d^2y/dx^2 + 5dy/dx - 6y = 0

The answer is 'd^2y/dx^2 - 5dy/dx + 6y = 0'. View full solution:

CUET Mathematics - If y = 3e^2x + 2e^3x, then which one of the following is true ? | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Applied Mathematics

Medium

$\frac{d^2y}{dx^2} + 5\frac{dy}{dx} + 6y = 0$

$\frac{d^2y}{dx^2} - 5\frac{dy}{dx} + 6y = 0$

$\frac{d^2y}{dx^2} - 5\frac{dy}{dx} - 6y = 0$

$\frac{d^2y}{dx^2} + 5\frac{dy}{dx} - 6y = 0$

✅ Correct Option: 2