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The form of the differential equation of the central conics, is A . x = y dy/dx x+y dy/dx= 0 x (dy/dx) 2 +xy (d 2 x/dx 2 )= y(dy/dx) none of these

The form of the differential equation of the central conics, is
       A . x = y dy/dx
  1.  x+y dy/dx= 0
  2. x (dy/dx)2 +xy (d2x/dx2)= y(dy/dx)
  3. none of these

Grade:12

1 Answers

kkbisht
90 Points
2 years ago
Let the equation of the Central Conic is ax2 +by2=1
differentiating w.r.t.  x we obtain   2ax + 2bydy/dx =0 => ax+bydy/dx =0 => a/b   + y/x (dy/dx)=0 -----(1) 
further differentiating w. r.t, x we get a + b (y (d2y/dx2) + (dy/dx)2 =0 using  (1) and simplifying we finally get 
x(dy/dx)2  +xy(d2y/dx2)= y(dy/dx)
So option(3) is correct
kkbisht
 

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