Question: Exercise 2: 25% Solve the following differential system Consider the differential system ly' = 2r+ y+ 1 (S1) (1) Solve the homogeneous system (2) Find

Exercise 2: 25% Solve the following differential
Exercise 2: 25% Solve the following differential system Consider the differential system ly' = 2r+ y+ 1 (S1) (1) Solve the homogeneous system (2) Find a particular solution of the form r(t) - at +b, y(!) = c +d; abcdeR (3) Give the general solution of ($1), subject to the initial conditions: x(0) = 1, y(0) = 2

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