Question Bank MCQ • 2 Marks Section 1: Mathematical Physics Differential equations

QB_PH_020: Differential equations

Question Statement

The second-order partial differential equation $\frac{\partial^2 u}{\partial x^2} - 4\frac{\partial^2 u}{\partial x \partial y} + 4\frac{\partial^2 u}{\partial y^2} = 0$ is classified as:
(A) Parabolic
(B) Hyperbolic
(C) Elliptic
(D) Circular
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Discriminant $B^2 - 4AC = (-4)^2 - 4(1)(4) = 16 - 16 = 0$, hence parabolic.
← Prev (QB_PH_019) Next (QB_PH_021) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and official TCS iON calculator.

Launch CBT Mock Test