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# True-or-False: Number of arbitrary constant in the particular solution of a differential equation of order two is two.

Toolbox:
• If the given equation has $n$ arbitrary constant,then the required differential equation will be of $n^{th}$ order
If the equation contains $n$ arbitrary constants, then the required differential equation will be of $n^{th}$ order
But the number of arbitary cnstants in the particular solution of a differential equation is only one.
Hence the number of arbitrary constant in the particular solution of a differential equation of order two is two.
$False$