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Grade: Upto college level

                        

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 ?

9 years ago

Answers : (2)

vikas askiitian expert
509 Points
							

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

9 years ago
Souradeep Majumder
80 Points
							

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..............

 

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9 years ago
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