engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Initial and Boundary Value Problems
The solution of Differential Equation \(y'' - 2y' + 5y = 4\delta \left( t \right)\), when where δ(t) is unit impulse function. Given: y(0) = 0, y' (0) = 0
1
\(\rm 2e^{t}cos2t\)
2
\(\rm 2e^{t}sin2t\)
3
\(\rm 4e^{t}sint\)
4
\(\rm 4e^{t}cost\)