Consider the differential equation
2
2
2 4 2 0d y dyx x ydx dx+ + =
for
1x
with initial conditions
0y = ,
1dy
dx = at
1x = . The value of y at
2x = is ____ .
(round off to two decimal places)
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.54)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (2 Marks, 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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