Allied & ICAR Exam Bank • ALLIED_2727 MSQ • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

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

Question Statement:

Which of the following boundary condition types are correctly matched for partial differential equations?

Options:

  • (A) Dirichlet boundary condition: Specified value of the unknown function $u$ on the boundary
  • (B) Neumann boundary condition: Specified normal derivative $\frac{\partial u}{\partial n}$ on the boundary
  • (C) Robin (mixed) boundary condition: Linear combination of $u$ and $\frac{\partial u}{\partial n}$ on the boundary
  • (D) Cauchy boundary condition: Both $u$ and its normal derivative specified on the boundary

Answer Key:

A, B, C, D

Step-by-Step Solution & Explanation

These are the four classical boundary condition classifications in PDE theory.
← Previous (ALLIED_2726) Next (ALLIED_2728) →

Practice In Authentic CBT Exam Interface

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

Launch CBT Mock Test