y=3e^{3x} is a solution of a second order linear homogeneous differential equation with constant coefficients. The equation is: (a) y''-(3+a)y'+3ay=0, a any real number. (b) y''+y'-6y=0 (c) y''+3y'=0 (d) y''+(3-a)y'+3ay=0, a any real number. (e) Cannot be determined.

$y=3{e}^{3x}$ is a solution of a second order linear homogeneous differential equation with constant coefficients. The equation is:
(a) ${y}^{″}-\left(3+a\right){y}^{\prime }+3ay=0$, a any real number.
(b) ${y}^{″}+{y}^{\prime }-6y=0$
(c) ${y}^{″}+3{y}^{\prime }=0$
(d) ${y}^{″}+\left(3-a\right){y}^{\prime }+3ay=0$, a any real number.
(e) Cannot be determined.
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The given solution of a second order linear differential equation is $y=3{e}^{3x}$
Evaluate y