Solve the Initial Value Problem Using an Integrating Factor $y ^ { \prime }$

question 7

Multiple Choice

Solve the initial value problem using an integrating factor.
- $y ^ { \prime }$ + y = 3; y(0) = 0.

• A) y = \(e ^ { - t }\) (3t - \(e ^ { - t }\) )
• B) y = \(\sqrt { 6 t }\)
• C) y = 3 - 3 \(e ^ { - t }\)
• D) y = 3t

---

Definitions:

Declared

Pertains to dividends or other distributions that have been officially announced by a company's board of directors.

Dividend Payments

Distributions of a portion of a company's earnings, decided by the board of directors, to a class of its shareholders.

Preferred Shareholders

Investors who own preferred shares in a company, which typically come with a fixed dividend but no voting rights.

Bondholders

Individuals or institutions that hold debt securities issued by corporations or governments, thereby lending them money.