Determine If the Given Function Y = F(x) Is a Solution

question 136

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $x y ^ { \prime } + y = \frac { 2 x } { 9 }$
Initial condition: $y ( 9 ) = 2$
Solution candidate: $y = \frac { 9 } { x } + \frac { x } { 9 }$

---

Definitions:

Shareholder Wealth

The value that shareholders gain from their investment in a company, measured by stock prices and dividends.

Project Risk

The uncertainty associated with achieving project objectives within defined constraints such as scope, time, and budget.

Standard Deviation

Standard deviation is a statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean, often used to assess investment risks.

Beta

An indicator of the level of fluctuation, or inherent risk, associated with a specific security or portfolio in relation to the overall market.