A particular solution of the differential equation $y ^ { \prime \prime } + 2 y ^ { \prime } + y = e ^ { x }$ is
A) $y _ { p } = 4 x e ^ { x }$
B) $y _ { p } = x ^ { 2 } e ^ { x } / 2$
C) $y _ { p } = 2 x ^ { 2 } e ^ { x }$
D) $y _ { p } = e ^ { x } / 4$
E) $y _ { p } = e ^ { x }$

Question

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The Answer of A particular solution of the differential equation $y ^ { \prime \prime } + 2 y ^ { \prime } + y = e ^ { x }$ is
A) $y _ { p } = 4 x e ^ { x }$
B) $y _ { p } = x ^ { 2 } e ^ { x } / 2$
C) $y _ { p } = 2 x ^ { 2 } e ^ { x }$
D) $y _ { p } = e ^ { x } / 4$
E) $y _ { p } = e ^ { x }$

A Particular Solution of the Differential Equation y′′+2y′+y=exy ^ { \prime \prime } + 2 y ^ { \prime } + y = e ^ { x }y′′+2y′+y=ex

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