Verify that the vector X is a solution of the given homogeneous system. X' = −1 1 25 1 −1 X; X = −1 5 e−6t/5 For X = −1 5 e−6t/5
, one has
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If you <em>deposit</em> $35, you can imagine drawing a green line (representing the money gained) to the 35 on the number line, which can be seen as <em>moving </em>35 to the right<em />. Fo <em>w</em><em>ithdrawing, </em>imagine drawing a red line back 50 notches on the number line (representing money lost). The net effect that the deposit and withdrawal will have on your account balance is a 
dollar <em>loss</em>, which can be represented on the number line as a line drawn to the point -15.