Question Statement:
Given y = epx sin qx, where p and q are non-zero real numbers, the value of
the differential expression
d2y
dx2 - 2p dy
dx + (p2 + q2)y
is
Options:
-
(A) 0
-
(B) 1
-
(C) p2 + q2
-
(D) pq
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.36)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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