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

1 Answer

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  • 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.
$False$
answered May 22, 2013 by meena.p
 

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