question_answer

If integrating factor of \[x\,\,(1-{{x}^{2}})\,\,dy+(2{{x}^{2}}y-y-a{{x}^{3}})\,\,dx=0\] is \[{{e}^{\int{pdx}}},\] then P is equal to

A)  \[\frac{2{{x}^{2}}-a{{x}^{3}}}{x(1-{{x}^{2}})}\]              

B)  \[(2{{x}^{2}}-1)\]

C)  \[\frac{2{{x}^{2}}-1}{a{{x}^{3}}}\]            

D)  \[\frac{2{{x}^{2}}-1}{x{{(1-x)}^{2}}}\]

E)  None of these