1.

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 [MP PET 1999]

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. \[\frac{(2{{x}^{2}}-1)}{x(1-{{x}^{2}})}\]
Answer» E.


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