Consider a second order linear ordinary differential equation 0 y 4dx
dy4
dx
y d
2
2
, with the
boundary conditions 1dx
dy; 1 ) 0 ( y
0 x
. The value of y at x =1 is
(A) 0 (B) 1 (C) e (D) e2
6/9
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.35)**
**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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