Allied & ICAR Exam Bank • ALLIED_2712 NAT • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Higher order linear ODEs with constant coefficients

Question Statement:

The steady-state solution (particular integral) of $\frac{d^2 y}{dx^2} + 4\frac{dy}{dx} + 8y = 16$ is a constant equal to:

Answer Key:

2

Step-by-Step Solution & Explanation

For constant excitation $16$, $y_p = \frac{16}{8} = 2$.
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