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Which of the Following Is a Solution of the Differential d2ydx2−6dydx+9y=0\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0

Question 72

Multiple Choice

Which of the following is a solution of the differential equation d2ydx2−6dydx+9y=0\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0


A) y=e−3xy = e ^ { - 3 x }
B) y=e2xy = e ^ { 2 x }
C) y=xe−3xy = x e ^ { - 3 x }
D) y=xe3xy = x e ^ { 3 x }
E) y=e−2xy = e ^ { - 2 x }
F) y=e−3x+xy = e ^ { - 3 x } + x
G) y=xe3x+xy = x e ^ { 3 x } + x
H) None of these

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