Question

Given that y=x is a solution of (x2 – x +1)y" - (x2 + x)y' + (x+1)y=0


Given that y=x is a solution of 

(x2 - x +1)y" - (x2 + x)y' + (x+1)y=0, a linearly independent solution obtained by reducing the order is given by 

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Answer #3

jsm solution Yila (a2-x+1)y (2²+4) y (a+ny =O. Y eno= ulno. Y. (n) y, cm) = yila).uéns + uinoy, lim) n. ut nult au y, Au(23-0²+2) w tl-Q3 + 02_2x + 2) w=0 W!( 73-2 + ) = (73 - 72+27-2)w 123_02t2n-2) kp (ktek- sk) +22-2 up s du wtek -sk (५) ५. -but, inom -2 Incest In / 42-x+1) tu >> h lu) + In (17-11) + In God et a Inc.) In (22-**) ) itx yle e ula ka **{* - **) 1-*+

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