How many arbitrary constants are there in the general solution of the differential equation of order 3.

Question

Philoid · Accepted Answer

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)

Again integrating

is the general solution of the differential equation with 3 arbitrary constants C₁, C_2, C₃.

∴ There are 3 arbitrary constants in the general solution of the differential equation of order 3.