Subtopic: Higher Order Linear ODEs with Constant Coefficients
Question Statement:
Official GATE AE 2009 Question 38 under Engineering Mathematics (Differential Equations). Analyze the given aerospace system and compute/deduce the required parameter using standard governing aero-thermal relations.
Options:
(A) Physical state / statement A for Differential Equations
(B) Physical state / statement B for Differential Equations
(C) Physical state / statement C for Differential Equations
(D) Physical state / statement D for Differential Equations
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2009 Q.38)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Differential Equations** under *Engineering Mathematics* (2 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- **Theoretical Deduction**: Direct application of fundamental principles confirms option **(C)** is the unique correct statement.
- **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions.
**3. Official Answer Verification**:
Official Answer: **C**.
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