Just do 5.4 please.

5.4 ( Cf: Problem 3.3.11 on P. 133): Find the GS of the following DE: (D - 2)2(D - 1)3(D2 - 6D + 10)y(x) = 0 where DE d dxExample 8 Find the GS for the following DE (D2 - 5D + 6) (D - 1)2(D2 + 1) y = 0 (3.87) 3.3 Homogeneous DEs Solution The C-Eq is (12 - 5r + 6)(r - 1)2(r2 + 1) = (r-2)(r-3)(r-1)2(r2 + 1) = 0 whose roots are 71,2,3,4,5,6 = 2, 3, 1,1, i, -i. Thus, the GS is y(x) = C1 exp(2x) + C2 exp(3x) + (63 + C4x) exp(x) + Cscosx+ Co sinx