Question: Exercise 2: 25% Solve the following differential system Consider the differential system Ja' = x+2y+t ly' = 2x+ y+1 (S1) (1) Solve the homogeneous system

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

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