2 What is the general solution of the following differential equation? y() + 5y) + 13y5)...

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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) у(x) — с1е -3x +c2xe cos(2x) +c3Xe sin(2x) + сде*+ C5xе* + све Х cos(2x) + Сте *sin(2x) -3x (3) y(x) = c1 cos(2x) + c2 sin(2x) + c3e* + C4xe* + c5e + C¢X Cos(2x) + c7x sin(2x) -3x (4) y(x) = C1e* + c2xe* + c3e + C4xe-3x + c;x²e-3x + Cge* cos(2x) + cze sin(2x) -3x + c4xe-* cos(2x) + c;xe sin(2x) + C6x²e* cos(2x) + (5) у(x) c7x'e* sin(2x) C1e* + c2e-3x + C3xe 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) у(x) — с1е -3x +c2xe cos(2x) +c3Xe sin(2x) + сде*+ C5xе* + све Х cos(2x) + Сте *sin(2x) -3x (3) y(x) = c1 cos(2x) + c2 sin(2x) + c3e* + C4xe* + c5e + C¢X Cos(2x) + c7x sin(2x) -3x (4) y(x) = C1e* + c2xe* + c3e + C4xe-3x + c;x²e-3x + Cge* cos(2x) + cze sin(2x) -3x + c4xe-* cos(2x) + c;xe sin(2x) + C6x²e* cos(2x) + (5) у(x) c7x'e* sin(2x) C1e* + c2e-3x + C3xe