Solve the Differential Equation $\frac { d u } { d t } = 15 + 5 u + 3 t + u t$

question 43

Multiple Choice

Solve the differential equation. $\frac { d u } { d t } = 15 + 5 u + 3 t + u t$

• A) \(u = - 3 + C e ^ { \frac { t ^ { 2 } } { 2 } - 5 t }\)
• B) \(u = - 3 + C e ^ { t ^ { 2 } - 5 t }\)
• C) \(u = - 3 + C e ^ { \frac { t ^ { 2 } } { 2 } + 5 t }\)
• D) \(u = - 3 + C e ^ { \frac { t ^ { 2 } } { 2 } + 5 t ^ { 2 } }\)
• E) \(u = - 3 + C e ^ { t ^ { 2 } + 5 t }\)

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