Which of the Following Is a Solution of the Differential $\frac { d y } { d x } + 2 x y = x$

question 131

Multiple Choice

Which of the following is a solution of the differential equation $\frac { d y } { d x } + 2 x y = x$ ?

• A) \(y = 1 + e ^ { - x ^ { 2 } }\)
• B) \(y = e ^ { 2 x }\)
• C) \(y = x e ^ { - x ^ { 2 } }\)
• D) \(y = 1 + e ^ { - x ^ { 2 } }\)
• E) \(y = \frac { 1 } { 2 } + e ^ { - x ^ { 2 } }\)
• F) \(y = e ^ { - x ^ { 2 } }\)
• G) \(y = \frac { 1 } { 2 } + e ^ { x ^ { 2 } }\)
• H)None of these

---

Definitions:

Rhesus Macaque

A species of monkey commonly used in medical and biological research studies due to its close genetic relation to humans.

Observational Learning

Learning that occurs through observing the behavior of others, also known as social learning or modeling.

Reconcile

The process of finding a way to make two different ideas, facts, or situations compatible or coherent with each other.

Unplanned Childbearing

Occurrences of pregnancy and childbirth that were not intended or planned before conception.