Question: DIFFERENTIAL EQUATIONS 6. Consider the linear system dy dt AY, A= (a) Check that the following two functions define solutions (show your work plugging in)

DIFFERENTIAL EQUATIONS

6. Consider the linear system dy dt AY, A= (a) Check that the following two functions define solutions (show your work plugging in) Yi(t) =( ett ), Yz(t) = 5et e4t 2 et (b) Using part (a), find a solution Y (t) satisfying Y (0) = ( 4 -3

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