Question Statement:
Consider the one-dimensional wave equation
0uu
tx
+= for
x- ,
0t .
For an initial condition
2
( ,0) xu x e -= , the solution at
1t = is
Options:
-
(A) 2( 1)( ,1) xu x e --=
-
(B) 1( ,1)u x e -=
-
(C) 2
( ,1) xu x e -=
-
(D) 2( 1)( ,1) xu x e -+=
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.13)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, 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)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test