Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = y + 1 , y ( 0 ) = 1$

question 5

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = y + 1 , y ( 0 ) = 1$

• A) y = \(\mathrm { e } ^ { \mathrm { t } }\) - 2
• B) y = 2 \(\mathrm { e } ^ { \mathrm { t } }\) -1
• C) y = \(t ^ { 2 }\) + 1
• D) y = t + 1

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Definitions:

Motor Controller

A device that regulates the performance of an electric motor by varying parameters such as voltage and current.

PWM

Pulse Width Modulation, a technique used to control the amount of power delivered to an electrical device by varying the duty cycle of a pulse signal.

Four-quadrant

Refers to operating modes of a drive or control system that can handle both positive and negative directions of both power and torque in all four quadrants of operation.

Magnetic Motor

An electric motor that uses magnetic fields generated by electromagnets or permanent magnets to produce rotation.