The order of the differential equation whose solution is y = a x … - Vidyadip

MCQ

The order of the differential equation whose solution is $y = a\cos x + b\sin x + c{e^{ - x}}$ is

✓
$3$
B
$2$
C
$1$
D
None of these

✓

Answer

Correct option: A.

$3$

a
(a) $y = a\cos x + b\sin x + c{e^{ - x}}$ is a three parameter family of curves,

so its differential equation is third order differential equation.

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