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

question 2

Multiple Choice

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

• A) \(y _ { p } = x ^ { 2 } e ^ { x }\)
• B) \(y _ { p } = x e ^ { x } / 5\)
• C) \(y _ { p } = x e ^ { x }\)
• D) \(y _ { p } = e ^ { x }\)
• E) \(y _ { p } = e ^ { - x } / 5\)

---

Definitions:

Continual Self-reflection

The ongoing process of introspection and analysis of one's thoughts, actions, and emotions to foster personal growth.

Acquisition Of Skills

The process of learning or gaining new abilities or expertise through practice, study, or experience.

Mode Of Treatment

The method or approach adopted for treating a medical condition, psychological issue, or any health-related problem.

Frequency And Duration

Terms referring to how often an event happens (frequency) and the length of time it occurs (duration).