Solve the Differential Equation $( 6 + t ) \frac { d u } { d t } + u = 6 + t , t > 0$

question 56

Multiple Choice

Solve the differential equation. $( 6 + t ) \frac { d u } { d t } + u = 6 + t , t > 0$

• A) \(u = \frac { t ^ { 2 } + C } { t + 6 }\)
• B)\(u = 6 t + \frac { t ^ { 2 } } { 6 } + C\)
• C)\(u = \frac { 6 t + t ^ { 2 } + C } { t + 6 }\)
• D)\(u = \frac { 6 t + \frac { t ^ { 2 } } { 2 } + C } { t + 6 }\)
• E)
• \(u = \frac { 6 t + \frac { 1 } { 2 } t ^ { 2 } } { \frac { 3 } { 6 } t + 2 } + C\)

---

Definitions:

Leadership

The act of guiding and directing others toward achieving a common goal through influence and motivation.

Societal Conditions

The various circumstances and factors that characterize society at a specific time, including economic, cultural, social, and political aspects.

Kelley's Typology

A theoretical model that classifies employees into distinct roles based on their levels of actively engaging with work and displaying initiative, such as stars, citizens, lone wolves, and sheep.

Followers

Individuals who support and are guided by a leader or organization.