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

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Definitions:

Cumulative Preferred Stock

A type of preferred stock where dividends accumulate if not paid, and must be paid out before dividends to common stockholders.

Common Stock

Equity security representing ownership in a corporation, with rights to vote on corporate matters and receive dividends.

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A portion of a company's earnings distributed to its shareholders, typically on a regular basis.

Cumulative Preferred Stock

A type of preferred stock that accumulates unpaid dividends, which must be paid out before any dividends can be issued on common stock.