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

Question 32

Multiple Choice

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

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

A Particular Solution of the Differential Equation y′′+2y′+y=e−xy ^ { \prime \prime } + 2 y ^ { \prime } + y = e ^ { - x }y′′+2y′+y=e−x

Multiple Choice

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

Correct Answer:
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