Solve the Differential Equation $\frac { d Q } { d t } = 200 - 0.2 Q$

question 65

Multiple Choice

Solve the differential equation $\frac { d Q } { d t } = 200 - 0.2 Q$ subject to $Q ( 0 ) = 1500$ .

• A) \(Q ( t ) = 500 e ^ { - 0.2 t } + 1000\)
• B) \(Q ( t ) = - 500 e ^ { - 0.2 t } + 1000\)
• C) \(Q ( t ) = 1300 e ^ { - 0.2 t } + 200\)
• D) \(Q ( t ) = - 1300 e ^ { - 0.2 t } + 200\)

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Definitions:

Set-point Control

A control system method where a device adjusts its operation to maintain a process variable at a desired set-point or value.

Open Loop Control

A control system where the control action is independent of the output, lacking feedback from the process being controlled.

FLL Instruction

An instruction in PLC programming that fills a block of data with a specified value.

Zero Data

Refers to a state or condition where no relevant or actionable data is available or present.