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The solution of differential equation $$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} + \frac{{{\text{6dy}}}}{{{\text{dx}}}} + 9{\text{y}} = 9{\text{x}} + 6$$      with C1 and C2 as constant is

The solution of differential equation $$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} + \frac{{{\text{6dy}}}}{{{\text{dx}}}} + 9{\text{y}} = 9{\text{x}} + 6$$      with C1 and C2 as constant is Correct Answer y = (C<sub>1</sub>x + C<sub>2</sub>)e<sup>-3x</sup> + x

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