The Laplace transform L(u(t))=U(s), for the solution u(t) of the problem 0 , 1 22
2
> = + +t udt
du
dt
u d
with initial conditions
.
5) 0 (, 0 ) 0 ( = =dt
duu is given by:
(A) 2) 1 (
6
+s
(B) 2) 1 (
1 5
+
+
s s
s (C) 2) 1 (
5 1
+
-
s s
s (D) 2
2
) 1 (
1 5
+
+
s s
s
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.30)**
**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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