When the Laplace Transform Is Applied to the System $\begin{array} { l } \frac { d x } { d t } = 3 x - y \\\frac { d y } { d t } = x + y \\x ( 0 ) = 2 , y ( 0 ) = 1\end{array}$

question 22

Multiple Choice

When the Laplace transform is applied to the system $\begin{array} { l } \frac { d x } { d t } = 3 x - y \\\frac { d y } { d t } = x + y \\x ( 0 ) = 2 , y ( 0 ) = 1\end{array}$ the resulting transformed system is

• A) \(s X = 3 X - Y - 2 , s Y - 1 = X + Y\)
• B) \(s X - 2 = 3 X - Y , s Y = X + Y - 1\)
• C) \(s X = 3 X - Y - 2 , s Y = X + Y - 1\)
• D) \(s X - 2 = 3 X - Y , s Y - 1 = X + Y\)
• E) \(s X + 2 = 3 X - Y , s Y + 1 = X + Y\)

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