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
![]()
![]()
Again integrating
![]()
![]()
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.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Which of the foll
Mathematics - ExemplarFamily y = Ax + A
Mathematics - ExemplarThe order and deg
Mathematics - ExemplarIf y = 3e2x<
Mathematics - Board PapersWrite the degree
Mathematics - Board PapersThe degree of the
Mathematics - Exemplar