If y = a e^x + b e^ - x + c where a,b,c are parameters then y''' … - Vidyadip

MCQ

If $y = a{e^x} + b{e^{ - x}} + c$ where $a,b,c$ are parameters then $y''' = $

A
$y$
✓
$y'$
C
$0$
D
$y''$

✓

Answer

Correct option: B.

$y'$

b
(b) $y = a{e^x} + b{e^{ - x}} + c$ ==> $y' = a{e^x} - b{e^{ - x}}$

==> $y'' = a{e^x} + b{e^{ - x}}$ ==>$y''' = a{e^x} - b{e^{ - x}} = y'$.

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