Question Bank • QB_EM_131 NAT • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Higher order linear ODEs with constant coefficients

Question Statement:

Find the particular integral $y_p$ of the differential equation $\frac{d^2 y}{dx^2} + 4y = 8$. The value of $y_p$ is:

Answer Key:

2

Step-by-Step Solution & Explanation

$y_p = \frac{1}{D^2 + 4} (8 e^{0 \cdot x}) = \frac{8}{0^2 + 4} = \frac{8}{4} = 2.0$
← Previous (QB_EM_ADV_059) Next (QB_EM_153) →

Practice In Authentic CBT Exam Interface

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

Launch CBT Mock Test