Which of the Following Differential Equations Has the Solution Graphed $\frac{d^{2} y}{d t^{2}}=5$

question 34

Short Answer

Which of the following differential equations has the solution graphed below?
i. $\frac{d^{2} y}{d t^{2}}=5$ ii. $\frac{d y}{d t}=y-5$ iii. $\frac{d y}{d t}=y(5-y)$ iv. $\frac{d y}{d t}=-y t$

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Definitions:

Immediate Output

An output action in a control system that occurs directly in response to an input condition without delay.

Program Scan

A program scan is the sequential process by which a programmable logic controller (PLC) or controller cycles through its instructions to control connected devices.

Forcing Functions

In the context of programming and engineering, forcing functions are elements designed to ensure certain actions occur or prevent undesired states, often used in automated systems to override standard operations for testing or emergency purposes.

Field Device

A hardware component located physically in the field or on the plant floor, responsible for collecting data or controlling physical processes.