1.

The differential equation found by the elimination of the arbitrary constant K from the equation \[y=(x+K){{e}^{-x}}\]is

A.                 \[\frac{dy}{dx}-y={{e}^{-x}}\]       
B.                 \[\frac{dy}{dx}-y{{e}^{x}}=1\]
C.                 \[\frac{dy}{dx}+y{{e}^{x}}=1\]    
D.                 \[\frac{dy}{dx}+y={{e}^{-x}}\]
Answer» E.


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