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Byju's Answer
Standard XII
Mathematics
Ordinary Differential Equations
Write the ord...
Question
Write the order of the differential equation whose solution is y = a cos x + b sin x + c e
−x
.
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Solution
y
=
a
cos
x
+
b
sin
x
+
c
e
-
x
Here
,
we
see
that
there
are
three
arbitary
constants
.
Therefore
,
we
differentiate
it
three
times
to
get
rid
of
all
three
arbitrary
constants
.
Hence
,
the
order
of
the
differential
equation
is
3
.
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