Find the general solution?

Question

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. 

Answer 1

 Question is not clear. It should be determinant:

 

   l Cost     - sint l  = cos² - (-sint) (sint) = cos² + sin² t =1

   l cost       sint  l