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###### Solution by eigenval4) Write the initial value problem vector form b) Solve by using eigenvalues/eigcnvectors. Write the solution in z(t), U(t) form;1 I +2y I(0) = 4r + 3y" v(o) =I(0) v(o) =1I(0) JI + Sy' v(0) = 11 2(0) = 1 41 - 3y" y(o) = -21=81 4 3(0) = T(0) =I+2yI +24 21 _ 3y' v(o) = 2131 - 5y I(0) 1 3(0) =I - I(0) = 21 - y' "(o) = 21=_T T(0) = 2 9 31 - y ' v(0) = -38-2-y I(0) = 3 1 = 2r 2y' v(o) = 51 61 = %y I(0) = 1 v(o) = -

Solution by eigenval 4) Write the initial value problem vector form b) Solve by using eigenvalues/eigcnvectors. Write the solution in z(t), U(t) form; 1 I +2y I(0) = 4r + 3y" v(o) = I(0) v(o) = 1 I(0) JI + Sy' v(0) = 1 1 2(0) = 1 41 - 3y" y(o) = -2 1 =81 4 3(0) = T(0) =I+2y I +24 21 _ 3y' v(o) = 2 1 31 - 5y I(0) 1 3(0) = I - I(0) = 21 - y' "(o) = 2 1 =_T T(0) = 2 9 31 - y ' v(0) = -3 8-2-y I(0) = 3 1 = 2r 2y' v(o) = 5 1 61 = %y I(0) = 1 v(o) = -

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