math244 quiz3 wint05 - Quiz 3 Math 244 Winter 05 Name Show...

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Unformatted text preview: Quiz 3 Math 244 Winter 05 Name; Show all work for full credit. where possible. l.)(10)Solve 2y”—y’—y = O g2/‘2 - f'- / J: C) n . » Find explicit solutions 2.)(10)Determine by use of a Wronskian whether the two functions exsinx and excosx are linearly independent. ((0 : QYS‘MIX ()ij : eXCoSV 4'0): 8‘ Cosx+ SMXQX 637/4”) :: ~4X5§n>< 4 cafixfi H ) ?x x- _wawfi3{ -— 2&1 L ’9’“ 0 .5 " 8 ¢ 1/ .,//flh\“'\ * _ ;’ 1M0\f "3 V 3.)(lO)Work backwards to write the D.E. corresponding to the solution: y(x) = cle"+cze'2"'+c;.;e‘X I (I)\:€Y m ,?x Y/fl : l H ...
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