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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The Answer of 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) $u = - 3 + C e ^ { t ^ { 2 } + 5 t }$

Solve the Differential Equation dudt=15+5u+3t+ut\frac { d u } { d t } = 15 + 5 u + 3 t + u tdtdu​=15+5u+3t+ut

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