The Particular Solution of the Differential Equation $\left( d ^ { 2 } y \right) / \left( d x ^ { 2 } \right) = 2 - 6 x$

Multiple Choice

The particular solution of the differential equation $\left( d ^ { 2 } y \right) / \left( d x ^ { 2 } \right) = 2 - 6 x$ satisfying the boundary conditions when $y ^ { \prime } ( 0 ) = 4$ and $y ( 0 ) = 1$ is

A) $y = - x ^ { 3 } + x ^ { 2 } - 4 x + 1$
B) $y = - x ^ { 3 } + x ^ { 2 } - 4 x - 1$
C) $y = - x ^ { 3 } + x ^ { 2 } + 4 x + 1$
D) $y = x ^ { 3 } + x ^ { 2 } - 4 x + 1$
E) $y = x ^ { 3 } + x ^ { 2 } + 4 x + 1$