(1)
where, a is an arbitrary constant Differentiating both
sides of equation (1) with respect to x,we get
2
2
dy
x
y dx
 
 = 2
dy
a dx
   Fig 9 3
Fig 9 4
X
X’
Y’
Y
O
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MATHEMATICS
390
or
dy
x
 y dx
 = 
dy
a dx  or a = 
dy
x
dyy dx
dx