Solve the Differential Equation $$x \frac { d y } { d x } + 2 y = 5 - \frac { 1 } { x } , x > 0$$

question 30

Multiple Choice

Solve the differential equation.
- $$x \frac { d y } { d x } + 2 y = 5 - \frac { 1 } { x } , x > 0$$

• A) \(y = \frac { 5 x ^ { 2 } - 2 x + C } { 2 x ^ { 2 } } , x > 0\)
• B) \(y = \frac { 5 x ^ { 2 } + 2 x + C } { 2 x ^ { 2 } } , x > 0\)
• C) \(y = \frac { x ^ { 2 } - 5 x + C } { 2 x ^ { 2 } } , x > 0\)
• D) \(y = \frac { 5 x ^ { 2 } - x + C } { 2 x ^ { 2 } } , x > 0\)

Recognize the nursing considerations necessary for planning patient care related to activity and exercise.

Distinguish between proper and improper body mechanics to prevent injury.

Recognize the importance of warming up and cooling down in relation to exercise.

Identify strategies for incorporating exercise into daily life.

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Definitions:

Complementary Product

A product that adds value to another product when used together, enhancing the overall user experience.

Elastic

A characteristic of goods or services with demand sensitive to changes in price, wherein a small change in price leads to a significant change in the quantity demanded or supplied.

Complementary Products

Goods or services that are used together, enhancing the value of each other when consumed or utilized in combination.

Price Inelastic

A situation in which the demand for a product does not change significantly in response to a change in its price.