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

question 27

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) \(s X - 1 = 4 X - Y , s Y = 2 X + Y\)

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Definitions:

Egoism

A theory that suggests individuals should act in their own self-interest and that this action ultimately benefits society as a whole.

Utilitarianism

A moral theory that suggests the best action is the one that maximizes utility, typically defined as maximizing happiness and reducing suffering.

Cognitive Moral Development

A theory by Lawrence Kohlberg that suggests individuals progress through a series of moral reasoning stages.

Ethical Concern

Issues or situations that require individuals or organizations to choose between alternatives that must be evaluated as right or wrong, based on ethical principles.