1.

The elimination of the arbitrary constants A, B and C from \[y=A+Bx+C{{e}^{-x}}\]leads to the differential equation [AMU 1999]

A.                 \[{{{y}'}'}'-{y}'=0\]             
B.                 \[{{{y}'}'}'-{{y}'}'+{y}'=0\]
C.                 \[{{{y}'}'}'+{{y}'}'=0\]      
D.            \[{{y}'}'+{{y}'}'-{y}'=0\]
Answer» D.            \[{{y}'}'+{{y}'}'-{y}'=0\]


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