I wanna the answer of Question 3, Question 2(a,b,c), Question 5(a,c,e).

IF-'.-1-'l 5? Tuna-on SI m'" = 1 1' x z 3 l x' " and xlz' . a. Show that the given functions are solutions of the given 6. m: = (3 H2)x U > D)' x'\" : (I 1: Km : (2 Ir2 system of differential equations. 2 2 2 1 b- Show that X : f-'Ixt I) + szm is 3150 a solution 0f the given 7. Prove the generalization of Theorem 7.4.l. as expressed in the system For any values 0f\" Md 92- sentence that includes equation (8), for an arbitrary value of the c. Show that the given functions form a fundamental set of integer 1:. solutions 0f the given system. 8. In this problem we outline a proof of Theorem 7.4.3 in the case d. Find the solution of the given system that satises the initial condition x(0) = (1, 2) T. e. Find W[x\"', x'3'](t). f. Show that the Wronskian. W = W[x' \".x'zll. found in e is a solution ofAbel's equation: W' = (PM!) + p23(t))W. \"in dxfn x: '1 x12] '_ 2 \"I .m_ l :(21_ 1 : dW d d l. x(3 _2)x.x le.x 3 e F: 1 f+ n = 2. Let xi \" and xi?-I be solutions of equation (3) for {l'