engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
If y(t) is a solution of differential equation y'' + 4y = 2et, then \(\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {t \to \infty } \end{array}\;{e^{ - t}}y\left( t \right)\) is equal to:
1
\(\frac{2}{3}\)
2
\(\frac{2}{5}\)
3
\(\frac{2}{7}\)
4
\(\frac{2}{9}\)