How many arbitrary constants are there in the general solution of the differential equation of order 3.
Let any differential equation of order 3 be
Here A is any constant.
Now, to know the number of arbitrary constants in the general solution we integrate both sides of equation (1)
is the general solution of the differential equation with 3 arbitrary constants C1, C2, C3.
∴ There are 3 arbitrary constants in the general solution of the differential equation of order 3.
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