GATE AE 2016 • Q18 NAT • 1 Mark

Engineering Mathematics

Linear Algebra & Differential Equations

Subtopic: Mathematical Formulations

Question Statement:

The partial differential equation 2 2 x u t u     , where α is a positive constant, is (A) circular. (B) elliptic. (C) hyperbolic. (D) parabolic.

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.18)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Linear Algebra & Differential Equations equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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