Question: x>0 u(x) v(x) ulx) +V'(X) - 2u(x) -v(x) = bn(x) -24'(x) av'lx) +u(x) - 0 Xx a) => s 6,4(x) +Lq v(x)= ln (x) Determine

 x>0 u(x) v(x) ulx) +V'(X) - 2u(x) -v(x) = bn(x) -24'(x)

x>0 u(x) v(x) ulx) +V'(X) - 2u(x) -v(x) = bn(x) -24'(x) av'lx) +u(x) - 0 Xx a) => s 6,4(x) +Lq v(x)= ln (x) Determine the differential Lzu(x) + Luv (x) = 0 operators Ln, n=1,2,3,4 which makes the form convenient. b) Using the obtanied operaters the elimination method is only you can obtain the corresponding equations for functions u(x) and v(x) c) By sdving the diffacential equations obtanied in the previous item b) separately, Find the solution x>0 u(x) v(x) ulx) +V'(X) - 2u(x) -v(x) = bn(x) -24'(x) av'lx) +u(x) - 0 Xx a) => s 6,4(x) +Lq v(x)= ln (x) Determine the differential Lzu(x) + Luv (x) = 0 operators Ln, n=1,2,3,4 which makes the form convenient. b) Using the obtanied operaters the elimination method is only you can obtain the corresponding equations for functions u(x) and v(x) c) By sdving the diffacential equations obtanied in the previous item b) separately, Find the solution

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