2 What is the general solution of the following differential equation? y(") + 5y) + 13y5) + 17y(4) 13y" 33y" 65y + 75y = 0 (1) y(x) = c1e* + c2e -3x +C3e +c4e* cos(2x)+c;e*sin(2x)+ C6xe * cos(2x)+ c,xe*sin(2x) (2) (x) 1 -3x +c2xe cos(2x) +c3Xe sin(2x) + *+ C5x* + cos(2x) + *sin(2x) -3x (3) y(x) = c1 cos(2x) + c2 sin(2x) + c3e* + C4xe* + c5e + CX Cos(2x) + c7x sin(2x) -3x (4) y(x) = C1e* + c2xe* + c3e + C4xe-3x + c;xe-3x + Cge* cos(2x) + cze sin(2x) -3x + c4xe-* cos(2x) + c;xe sin(2x) + C6xe* cos(2x) + (5) (x) c7x'e* sin(2x) C1e* + c2e-3x + C3xe