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A Particular Solution of the Differential Equation y′′+4y′+4y=e2xy ^ { \prime \prime } + 4 y ^ { \prime } + 4 y = e ^ { 2 x }

Question 1

Multiple Choice

A particular solution of the differential equation y′′+4y′+4y=e2xy ^ { \prime \prime } + 4 y ^ { \prime } + 4 y = e ^ { 2 x } is


A) yp=e2xy _ { p } = e ^ { 2 x }
B) yp=x2e2x/2y _ { p } = x ^ { 2 } e ^ { 2 x } / 2
C) yp=2xe2xy _ { p } = 2 x e ^ { 2 x }
D) yp=e2x/4y _ { p } = e ^ { 2 x } / 4
E) yp=e2x/16y _ { p } = e ^ { 2 x } / 16

Correct Answer:

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