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

Multiple Choice

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

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