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Find the general solution?

Find the general solution of x'=(-cos t, sin t). ( this is 2×1 matrix with -cos t on top, sin t on bottom.) 
 
Please use the method of undetermined coefficients. 

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Sun, you are missing the 2x2 matrix that makes this a differential equation.

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
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 Question is not clear. It should be determinant:
 
   l Cost     - sint l  = cos2 - (-sint) (sint) = cos+ sint =1
   l cost       sint  l