Allied & ICAR Exam Bank • ALLIED_0077 MCQ • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Partial Differential Equations – Laplace, heat and wave equations

Question Statement:

The one-dimensional wave equation $\frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2}$ is classified as:

Options:

  • (A) Hyperbolic PDE
  • (B) Parabolic PDE
  • (C) Elliptic PDE
  • (D) Harmonic equation

Answer Key:

A

Step-by-Step Solution & Explanation

The wave equation represents propagating waves and is hyperbolic ($B^2 - 4AC > 0$).
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