A Particular Solution of the Differential Equation $y ^ { \prime \prime } + 3 y ^ { \prime } + 4 y = 8 x + 2$

question 33

Multiple Choice

A particular solution of the differential equation $y ^ { \prime \prime } + 3 y ^ { \prime } + 4 y = 8 x + 2$ is

• A) \(y _ { p } = 2 x + 1\)
• B) \(y _ { p } = 8 x + 2\)
• C) \(y _ { p } = 2 x - 1\)
• D) \(y _ { p } = x ^ { 2 } + 3 x\)
• E) \(y _ { p } = 2 x - 3\)

---

Definitions:

Recreational Activities

Activities engaged in for enjoyment and relaxation, typically during one's leisure time.

Necessities

Basic needs or essential things that are required for living and maintaining good health, such as food, water, shelter, and clothing.

Commodities

Basic goods used in commerce that are interchangeable with other goods of the same type, often used in economic trading and as benchmarks in the global market.

Public Man

Public Man pertains to the concept of an individual who actively participates in and is concerned with the public or community affairs, as opposed to being focused solely on private or personal interests.