Find the General Solution of the Differential Equation Below and Check

Multiple Choice

Find the general solution of the differential equation below and check the result by differentiation. $$\frac { d Y } { d u } = \frac { 9 } { 4 } u ^ { \frac { 5 } { 4 } }$$

A)
$$Y ( u ) = \frac { 45 } { 16 } u ^ { \frac { 9 } { 4 } } + C$$
B)
$$Y ( u ) = u ^ { \frac { 9 } { 4 } } + C$$
C)
$$Y ( u ) = \frac { 45 } { 16 } u ^ { \frac { 1 } { 4 } } + C ^ { 4 }$$
D)
$$Y ( u ) = \frac { 9 } { 4 } u ^ { \frac { 9 } { 4 } } + C$$
E)
$$Y ( u ) = u ^ { \frac { 9 } { 4 } }$$