Use Power Series to Solve the Differential Equation $$y ^ { t } = 4 x y .$$

question 3

Multiple Choice

Use power series to solve the differential equation. $$y ^ { t } = 4 x y .$$

• A)\(y ( x ) = c e ^ { - \frac { 4 x ^ { 2 } } { 2 } }\)
• B) \(y ( x ) = c e ^ { \frac { 4 x ^ { 2 } } { 2 } }\)
• C) \(y ( x ) = e ^ { - \frac { x ^ { 2 } } { 2 } }\)
• D) \(y ( x ) = c e ^ { 4 x }\)
• E)\(y ( x ) = 4 e ^ { \frac { x ^ { 2 } } { 2 } }\)

---

Definitions:

Nonconforming Goods

Products that fail to meet the quality, design specifications, or performance standards as outlined in a purchase contract.

Difficulty of Discovering

Refers to the challenges inherent in uncovering or identifying certain facts or truths, often used in legal contexts regarding the complexity of uncovering evidence.

Acceptance of Goods

The act by which a buyer indicates their agreement that the goods received from the seller conform to the contract specifications.

Reasonable Opportunity

A legal concept giving individuals or parties sufficient time and access to information necessary to make informed decisions or respond to legal processes.