The complementary function of the differential equation \({x^2}\frac{{{d^2}y}}{{d{x^2}}} + 3x\frac{{dy}}{{dx}} + y = \frac{1}{{{{\left( {1 - x} \right)}^2}}}\) is
1
\(C.F. = \left( {{C_1} + {C_2}{e^x}} \right)\frac{1}{x}\)
2
\(C.F. = \left( {{C_1} + {C_2}x} \right){e^{ - x}}\)
3
\(C.F. = \left( {{C_1} + {C_2}\log x} \right)\frac{1}{x}\)
4
\(C.F. = \left( {{C_1} + {C_2}{e^{ - x}}} \right)\log x\)