Which of the following is a solution of the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0$
A) $y = e ^ { - 3 x }$
B) $y = e ^ { 2 x }$
C) $y = x e ^ { - 3 x }$
D) $y = x e ^ { 3 x }$
E) $y = e ^ { - 2 x }$
F) $y = e ^ { - 3 x } + x$
G) $y = x e ^ { 3 x } + x$
H)None of these

Question

Which of the following is a solution of the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0$ 
A) $y = e ^ { - 3 x }$ 
B) $y = e ^ { 2 x }$ 
C) $y = x e ^ { - 3 x }$ 
D) $y = x e ^ { 3 x }$ 
E) $y = e ^ { - 2 x }$ 
F) $y = e ^ { - 3 x } + x$ 
G) $y = x e ^ { 3 x } + x$ 
H)None of these

Quizplus · Accepted Answer

The Answer of Which of the following is a solution of the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0$ 
A) $y = e ^ { - 3 x }$ 
B) $y = e ^ { 2 x }$ 
C) $y = x e ^ { - 3 x }$ 
D) $y = x e ^ { 3 x }$ 
E) $y = e ^ { - 2 x }$ 
F) $y = e ^ { - 3 x } + x$ 
G) $y = x e ^ { 3 x } + x$ 
H)None of these

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 = 0dx2d2y​−6dxdy​+9y=0

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