When the Laplace Transform Is Applied to the System $\begin{array} { l } \frac { d x } { d t } = 4 x - y \\\frac { d y } { d t } = 2 x + y \\x ( 0 ) = 1 , y ( 0 ) = 0\end{array}$

Multiple Choice

When the Laplace transform is applied to the system $\begin{array} { l } \frac { d x } { d t } = 4 x - y \\\frac { d y } { d t } = 2 x + y \\x ( 0 ) = 1 , y ( 0 ) = 0\end{array}$ the resulting transformed system is

A) $s X = 4 X - Y , s Y - 1 = 2 X + Y$
B) $s X = 4 X - Y - 1 , s Y = 2 X + Y$
C) $s X = 4 X - Y , s Y = 2 X + Y - 1$
D) $s X = 4 X - Y , s Y = 2 X + Y$
E) $s X - 1 = 4 X - Y , s Y = 2 X + Y$