Statement (I) : The elimination of arbitrary constants from 
and 
from 
results in a differential equation of order three.
Statement (II): The elimination of arbitrary constants 
, 
and 
from 
results in a differential equation of order three.
Text Solution
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Statement I
Given 
Here, order 
, So, statement 
is false.
Statement II: 
Differentate both sides w.r.t. 
, we get
Again, differentiating both sides w.r.t. 
, we get
Subtracting Eq. (ii) form Eq. (iii), we get
Hence, order 
. So, statement II is true.
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