[19] Consider the nonhomogeneous linear system of differential equations: 16e3 (*) (1 x() x) - [1 1] 20 + (10"] homogene

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19 Consider The Nonhomogeneous Linear System Of Differential Equations 16e3 1 X X 1 1 20 10 Homogene 1 (31.85 KiB) Viewed 34 times

[19] Consider the nonhomogeneous linear system of differential equations: 16e3 (*) (1 x() x) - [1 1] 20 + (10"] homogeneous linear system x:(0) = [1 1] x(0). (a) Find complementary solutions; that is, find the general solutions of the corresponding .0) (b) Find a fundamental matrix M(O) for the homogenous linear system. (e) Set x(t) = M(O)(O). Write down the system of differential equations for u(t). (d) Find a particular solution u,() of the system in (c). (e) Find a particular solution x() of the original system (*). (f) Find the general solutions x(t) of the original system (#). x(0) 34 Solve the initial value problem x(e) = [1 1]xce)+ ["]. [12]