7. Find a general solution for the given differential equation with * as the independent variable. yo" - 5y" - 24y' = 0 A general solution with x as the independent variable is y(x) = 8. Find a general solution for the given differential equation with x as the independent variable. y(4) + 10y" + 25y =0 A general solution with x as the independent variable is y(x) = 9. Find a general solution to the given homogeneous equation. (D + 1)7(D- 8)3(D + 4)(D2 + 1) (02 + 64) Ly] = 0 Choose the correct answer below. O A. y(x) = Cq"* + Czek + Cge"4* + C4 cosx+ 0 sin x+ Cq cos 8x + C- sin &x O B. y(x)= Cye"* + Coxe"* + Cge + Caxe* + Cox2* + Cge- 4x + Cy cos x+ Gg sin x + Cp cos 8x + C10 sin 8x O C. y(x) = Gqe"* + Coxe"* 28* + Coe" 4x + Cy cos x + Cg sin x + Co cos 64x + C10 sin 64x O D. y(x) = Cyex + Cge"8X + Cge4* + Cy cosx+ C; sinx + 0; cos 8x + Cy sin 8x