Given the boundary-value problem 1 0 , 0< < = +
xkydx
dyxdx
d , with 0 ) 1 ( ) 0 (= =y y . Then the
solutions of the boundary-value problem for 1=k (given by 1y ) and 5=k (given by 5y ) satisfy:
(A) ∫ =
1
0 5 1 0dx y y (B) 051
0
1 =∫ dxdx
dy
dx
dy
(C) ∫ ≠
1
0 5 1 0dx y y (D) ∫ =+
1
0
51
5 1 0 )( dxdx
dy
dx
dyy y
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.4)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (1 Mark, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Verbal & Numerical Aptitude equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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