The general solution of \(\frac{{{d^2}y}}{{d{x^2}}} - 6\frac{{dy}}{{dx}} + 9y = 0\) is

\(y = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}}\)

\(y = \left( {{C_1} + {C_2}x} \right){e^{ - 3x}}\)

\(y = \left( {{C_1} + {C_2}x} \right){e^{3x}}\)

The general solution of \(\frac{{{d^2}y}}{{d{x^2}}} - 6\frac{{dy}}{{d

1.	The general solution of \(\frac{{{d^2}y}}{{d{x^2}}} - 6\frac{{dy}}{{dx}} + 9y = 0\) is
A.	\(y = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}}\)
B.	\(y = \left( {{C_1} + {C_2}x} \right){e^{ - 3x}}\)
C.	\(y = \left( {{C_1} + {C_2}x} \right){e^{3x}}\)
D.	\(y = {C_1}{e^{3x}}\)
Answer» D. \(y = {C_1}{e^{3x}}\)