ONLY SOLVE PROBLEM 3 (We need Problem 1 and 2 to solve 3 but I only need 3)

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(3){:[s^(')=(23)/(10)s-(7)/(10)f+(1)/(10)k-(3)/(10)m],[f^(')=(3)/(10)s+(13)/(10)f+(1)/(10)h-(3)/(10)m],[h^(')=(3)/(10)s+(3)/(10)f+(11)/(10)k-(3)/(10)m],[{:m^(')=(21)/(5)s+(11)/(5)f+(22)/(5)h-(11)/(5)m)],[" (7) "=>quady^(')=" Ay "quad y=[[s],[f],[h],[m]]],[A=[[23//10,-7//10,1//10,-3//10],[3//10,13//10,1//10,-3//10],[3//10,3//10,11//10,-3//10],[21//5,11//5,22//5,-11//5]]]:}(1)Eignvalues A_(1)=2;A_(2)=1;A_(3)=-1;A_(4)=1//2Eign lectors v_(1)=[[1],[0],[0],[1]];v_(2)=[[1//2],[y_(2)],[0],[1]];v_(3)=[[1//9],[19],[1//9],[1]];v_(4)=[[1//4],[1//4],[1//4],[1]]Solution y(t)=Ae^(lambda_(1)t)v_(1)+Be^(lambda_(2)t)theta_(2)+Ce^(lambda_(3)t)v_(3)+De^(lambda_(4)t){:[(P)=Ae^( ... See the full answer