This question concerns the second-order differential equation (ODE) below, subjectto initial conditions x = D and * = 0 when t = 0:dxdt-\frac{d^{2} x}{d t^{2}}-A \frac{d x}{d t}-B x=C-(i)Determine the complementary function for the associated homogeneous ODE.-(ii)Use undetermined coefficients to find the particular solution for the full equation.-(iii) Combine the solutions from (i) and (ii) with the initial conditions to find the general solution to the ODE.

Linear Algebra(Mathematics)

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