Choose the correct statement.

Assertion:The solution of the equation $\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}+6\mathrm{y}=3{\mathrm{xy}}^{4/3}$ is $\mathrm{y}\left(\mathrm{x}\right)=\frac{1}{{\left(\mathrm{x}+{\mathrm{Cx}}^2\right)}^3}$

Reason:The solution of a linear equation is obtained by multiplying with its integrating factor.

The given differential equation is not a linear equation. Dividing by $y^{4/3}$ we have

$\frac{x}{y^{4/3}}\frac{dy}{dx}+6y^{-1/3}=3x$

Put

 $\begin{array}{l}{\mathrm{y}}^{-1/3}=\mathrm{v}\\ \Rightarrow {\mathrm{y}}^{-4/3}\frac{\mathrm{dy}}{\mathrm{dx}}\\ \Rightarrow -3\frac{\mathrm{dv}}{\mathrm{dx}},\\ \mathrm{So}\\ -3\mathrm{x}\frac{\mathrm{dv}}{\mathrm{dx}}+6\mathrm{v}=3\mathrm{x}\end{array}$

$\Rightarrow \frac{\mathrm{dv}}{\mathrm{dx}}-\frac{2}{\mathrm{x}}\mathrm{v}=-1$

which is a linear equation whose integrating factor is 

.$\begin{array}{l}{\mathrm{x}}^{-2}\mathrm{v}=\frac{1}{\mathrm{x}}+\mathrm{C}\\ \mathrm{v}=\mathrm{x}+{\mathrm{Cx}}^2\\ \Rightarrow \mathrm{y}\left(\mathrm{x}\right)=\frac{1}{{\left(\mathrm{x}+{\mathrm{Cx}}^2\right)}^3}\end{array}$

Both Assertion and Reason are correct and reason is not the correct explanation of Assertion.