Guest

order of the differential equation corresponding to the lines ax+by+c=0 ? how do we determine the number of arbitrary independent constants in order to form a differential equation ?


order of the differential equation corresponding to the lines ax+by+c=0 ?


how do we determine the number of arbitrary independent constants in order to form a differential equation ?

Grade:Upto college level

2 Answers

vikas askiitian expert
509 Points
13 years ago

first we have to find dy/dx


ax + by + c = 0

ax + by = -c            ................1

a,b are dependent & c is independent constant...

so , 2 aritary constant means we have to differentiate this eq 2 times

after differentiating this eq 2 times we get

(d2y/dx2)= 0

order of this eq is 2 & degree is 1

Souradeep Majumder
80 Points
13 years ago

ORDER IS TWO.........  BECAUSE IF YOU DIVIDE  BOTH IDE BY B YOU FIND YOU HAVE TWO ARBITRARY CONSTANT. SO NO OF ARBITRARY CONSTANT = ORDER OF THE FUNCTION......... SO  ORDER IS TWO..............

 

APPROVE MY ANSWER..................

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free