22 Consider the linear differential equation Select one alternative: ○ (x³y)' = x² ○ (x³y)' = x³ ○ (x³y)' = x¹ (x²y)' = x¹ 3 + y = x. Which of the following formulas holds? dx

The given linear differential equation is ,

              $\frac{dy}{dx}+\frac{3}{x}y = x$

(.)  Solution of a first order linear differential equation of the form   $\frac{dy}{dx}+P\left(x\right)y = Q\left(x\right)$ is            given by ,

      $y(I.F.) =\int Q\left(x\right) (I.F.) dx + c ; c is an arbitrary cons\tan t$

     where  $I.F.$ is an integrating factor and given by ,

       $I.F. = e^{\int P\left(x\right) dx}$

now we solve the given linear differential equation .