Differential Equations: Mixed MCQ

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MixedEasyQuestion 370010

Question

A differential equation of order n has:

A
n arbitrary constants in the general solution
Correct
B
n solutions
C
n variables
D
n² terms

Correct answer

n arbitrary constants in the general solution

Explanation

The general solution of an nth order ODE contains exactly n arbitrary constants. Applying n initial/boundary conditions determines these constants uniquely.

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