The Initial Value Problem $y ^ { \prime } = \sqrt { y ^ { 2 } - 16 } , y \left( x _ { 0 } \right) = y _ { 0 }$

question 38

Multiple Choice

The initial value problem $y ^ { \prime } = \sqrt { y ^ { 2 } - 16 } , y \left( x _ { 0 } \right) = y _ { 0 }$ has a unique solution guaranteed by Theorem 1.1 if

• A) \(y _ { 0 } = 4\)
• B) \(y _ { 0 } = - 4\)
• C) \(y _ { 0 } = 0\)
• D) \(y _ { 0 } = 8\)
• E) \(y _ { 0 } = 1\)

---

Definitions:

Common Stock

An ownership stake in a corporation that provides the shareholder with voting capabilities and a claim on the company's profits through dividends.

Stock Of Small Firms

Stock Of Small Firms refers to the equity securities issued by companies with a small market capitalization, often characterized by higher volatility and potentially higher growth prospects than larger companies' stocks.

Canadian Common Stocks

Shares of ownership in Canadian corporations that represent a claim on the company's earnings and assets.

Rate Of Inflation

The increase speed of overall service and product prices, which in turn, lowers the capacity to make purchases.