Solve the Differential Equation $$y ^ { \prime } + y = y ^ { 2 }$$

question 22

Multiple Choice

Solve the differential equation.
- $$y ^ { \prime } + y = y ^ { 2 }$$

• A) \(1 - C e ^ { - x }\)
• B) \(\frac { 1 } { 1 + \mathrm { Ce } ^ { - \mathrm { x } } }\)
• C) \(1 + C e ^ { x }\)
• D) \(\frac { 1 } { 1 + C e ^ { x } }\)

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Definitions:

Caliper Piston

A component within a brake caliper that moves to apply pressure on the brake pads against the rotor, facilitating vehicle stopping.

Grabbing Brakes

A condition where the brakes engage suddenly and forcefully at the slightest touch, often due to uneven brake pad wear or contamination.

Pedal Pulsation

A vibration or pulsing sensation felt in the brake pedal, often indicative of warped brake rotors.

Brake Fluid Contamination

The process by which foreign substances enter the brake fluid, potentially causing failure of the braking system by reducing its performance.