A Particular Solution of the Differential Equation $y ^ { \prime \prime } + 3 y ^ { \prime } + 4 y = 8 x + 2$

Multiple Choice

A particular solution of the differential equation $y ^ { \prime \prime } + 3 y ^ { \prime } + 4 y = 8 x + 2$ is

A) $y _ { p } = 2 x + 1$
B) $y _ { p } = 8 x + 2$
C) $y _ { p } = 2 x - 1$
D) $y _ { p } = x ^ { 2 } + 3 x$
E) $y _ { p } = 2 x - 3$