The Recurrence Relation for the Power Series Solution About $x = 0$

question 11

Multiple Choice

The recurrence relation for the power series solution about $x = 0$ of the differential equation $y ^ { \prime \prime } + y = 0$ is

• A) \(( k + 2 ) ( k + 1 ) c _ { k + 2 } + c _ { k } = 0\)
• B) \(( k + 2 ) ( k + 1 ) c _ { k } + c _ { k - 2 } = 0\)
• C) \(( k + 1 ) k c _ { k + 2 } + c _ { k } = 0\)
• D) \(( k + 1 ) k c _ { k } + c _ { k - 2 } = 0\)
• E) \(( k - 2 ) ( k - 1 ) c _ { k - 2 } + c _ { k } = 0\)

---

Definitions:

Investment Banks

Financial institutions that assist individuals, corporations, and governments in raising financial capital by underwriting or acting as the client's agent in the issuance of securities.

Bonus Structures

The design of additional compensation methods to employees, typically based on performance criteria.

Mortgage-Backed Securities

Financial instruments that are secured by mortgages, with payments derived from the underlying loans.

Economic Efficiency

The optimal allocation of resources to maximize the production of goods and services without wasting any resources.