Allied & ICAR Exam Bank • ALLIED_0072 NAT • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Higher order linear ODEs with constant coefficients

Question Statement:

For the differential equation $\frac{d^2 y}{dx^2} - 4 \frac{dy}{dx} + 4y = 0$, the repeated characteristic root is:

Answer Key:

2

Step-by-Step Solution & Explanation

$m^2 - 4m + 4 = 0 \implies (m - 2)^2 = 0 \implies m = 2$ (repeated root).
← Previous (ALLIED_0071) Next (ALLIED_0073) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test