Form a diffrential equation representing the given family of curves by eliminating arbitrary constants a and b
X÷a + Y÷b=1
Answers
Answered by
1
On LCM it becomes
bX+aY=ab
This equation has two arbritary constants ,
So we have diffrentiate 2 times
first diffrentiate wrt X
b+a(dY/dX)=0
dY/dX=-b/a
again diffrentiate wrt X
d²Y/dX²=0
it is req diffrential equation
bX+aY=ab
This equation has two arbritary constants ,
So we have diffrentiate 2 times
first diffrentiate wrt X
b+a(dY/dX)=0
dY/dX=-b/a
again diffrentiate wrt X
d²Y/dX²=0
it is req diffrential equation
Similar questions