1. Consider the initial value problem i = Ar with a(0) = 2o € R where = T0 %3D -1 0 0 A = 0 10 0 1 1/ and 1o X2 X3, (a) Find three linearly independent solutions of the ODE system i = Ar. (b) For what...


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1.<br>Consider the initial value problem i = Ar with a(0) = 2o € R where<br>= T0<br>%3D<br>-1 0 0<br>A = 0 10<br>0 1 1/<br>and 1o<br>X2<br>X3,<br>(a) Find three linearly independent solutions of the ODE system i = Ar.<br>(b) For what values of X1, X2 and X3 is the solution to the initial value problem bounded<br>on R,?<br>= xo which are bounded in<br>(c) Find the set of all solutions to i = Ar with a(0)<br>R+.<br>

Extracted text: 1. Consider the initial value problem i = Ar with a(0) = 2o € R where = T0 %3D -1 0 0 A = 0 10 0 1 1/ and 1o X2 X3, (a) Find three linearly independent solutions of the ODE system i = Ar. (b) For what values of X1, X2 and X3 is the solution to the initial value problem bounded on R,? = xo which are bounded in (c) Find the set of all solutions to i = Ar with a(0) R+.

Jun 05, 2022
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