Q3 Given a non-homogeneous system of the first order linear differential equation as shown below. y', = -10y, + 10y2 + 5 98 20 10 y'2 = -3%+152+3 Y2 + (a) Evaluate the general equation of the homogeneous system. (b) Determine the particular integral for the non-homogenous system. (c) Formulate the general solution for the non-homogenous system. (d) Calculate the particular solution for y,(x) and y2(x) with y(0) = ().

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