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

question 97

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $x y ^ { \prime } + y = \frac { 2 x } { 5 }$
Initial condition: $\mathrm { y } ( 5 ) = 2$
Solution candidate: $y = \frac { 5 } { x } + \frac { x } { 5 }$

---

Definitions:

Generate Revenue

The process of earning income from operations or activities, typically through the sale of goods or services.

Alternative Future Uses

Potential different applications or functions which an asset can serve in the future.

Research and Development

Activities undertaken by a business or government in order to innovate and introduce new products, processes, or services, or to improve upon existing ones.

Research and Development

The investigative activities a business conducts to improve existing products and procedures or to lead to the development of new products and procedures.