Allied & ICAR Exam Bank • ALLIED_2706 NAT • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Higher order linear ODEs with constant coefficients

Question Statement:

For the differential equation $\frac{d^2 y}{dx^2} - 6\frac{dy}{dx} + 9y = 0$, the roots of the characteristic equation are repeated with value:

Answer Key:

3

Step-by-Step Solution & Explanation

$m^2 - 6m + 9 = (m - 3)^2 = 0 \implies m_1 = m_2 = 3$.
← Previous (ALLIED_2705) Next (ALLIED_2707) →

Practice In Authentic CBT Exam Interface

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

Launch CBT Mock Test