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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. 


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

 Question is not clear. It should be determinant:
   l Cost     - sint l  = cos2 - (-sint) (sint) = cos+ sint =1
   l cost       sint  l