Solve `x(dy)/(dx) +2y = x^2logx`

Explanation

`xdy/sx+2y=x^2logx`

`dy/dx+2/xy=xlogx`

`dy/dx+Py=Q`

`IF=e^(intPdx)=e^(2/xdx)=e^(2int1/xdx`

`IF=sse^(2logx)=x^2`

Solution of differential equation

`y*x^2=int(xlogx)x^2dx`

`y*x^2=x^4/4logx-1/4*x^4/4+c`

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