The Particular Solution of the Differential Equation $\frac { d y } { d x } = 5 x ^ { 2 } + 2$

Multiple Choice

The particular solution of the differential equation $\frac { d y } { d x } = 5 x ^ { 2 } + 2$ satisfying the boundary condition when x = 3, y = 5 is

A) $y = \frac { 5 } { 3 } x ^ { 3 } + 2 x - 5$
B) $y = \frac { 5 } { 3 } x ^ { 3 } + 2 x - 3$
C) $y = \frac { 5 } { 3 } x ^ { 3 } + 2 x - 51$
D) $y = \frac { 5 } { 3 } x ^ { 3 } + 2 x - 46$
E) $y = \frac { 5 } { 3 } x ^ { 3 } + 2 x - 45$