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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 ?
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
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
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..................
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..................
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