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(A) By definition,the general solution of a differential equation of order $n$ contains $n$ arbitrary constants. However,a particular solution is obta

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) By definition,the general solution of a differential equation of order $n$ contains $n$ arbitrary constants. However,a particular solution is obtained by assigning specific values to these arbitrary constants,usually to satisfy given initial or boundary conditions. Therefore,a particular solution contains no arbitrary constants. Thus,for a fourth-order differential equation,the number of arbitrary constants in its particular solution is $0$. Hence,the correct option is $A$.

The number of arbitrary constants in the particular solution of a fourth-order differential equation is . . . . . . .

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