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The general solution of the system of coupled equations d x d t = 2 x...

The general solution of the system of coupled equations d x d t = 2 x + a y , d y d t = b x + c y can be written as

[ x ( t ) y ( t ) ] = C 1 [ − 1 1 ] e t + C 2 [ 2 2 ] e 3 t. Determine the values of a =  , b =  , c =  . Give the values of C 1 =  and C 2 =  (as a decimal) if x ( 0 ) = y ( 0 ) = 1.

Math   Calculus   
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