GATE AE 2013 • Q29 NAT • 1 Mark

Engineering Mathematics

Linear Algebra & Differential Equations

Subtopic: Mathematical Formulations

Question Statement:

A function ሻ satisfies the differential equation 2 2 20dy d y ydt dt  and is subject to the initial conditions (0 ) 0yt  and (0 ) 1dy tdt   . The value of (1 )yt  is (A) e (B) 0 (C) 1 (D) -1 2013 AEROSPACE ENGINEERING - AE AE 11/19

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.29)** **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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