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[" 2."[" यदि "y=x+(1)/(x+(1)/(x+(1)/(x+....

[" 2."[" यदि "y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," तो सिद्ध कीजिए कि "],[(x^(2)-y^(2)+3)(dy)/(dx)=1]]

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If y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," prove that "(dy)/(dx)=(y)/((2y-x)).

If y=(1)/(x+(1)/(x+(1)/(x+...*+oo))) prove that (1+y^(2))(dy)/(dx)+y^(2)=0

If y = x + (1)/(x + (1)/( x +...oo)) then (dy)/(dx) =

If y = x + (1)/(x + (1)/( x +...oo)) then (dy)/(dx) =

y(1+x^(2))dy=x(1+y^(2))dx

y(1-x^(2))dy=x(1+y^(2))dx

(y^(2))/(x^(2))(dx)/(dy)=(y+1)/(x+1)

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

(dy)/(dx)=(x+y+1)/(2x+2y+3)