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अवकल समीकरण (dy)/(dx)=(1+x^2)/(1+y^2) क...

अवकल समीकरण `(dy)/(dx)=(1+x^2)/(1+y^2)` को हल कीजिए ।

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

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

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

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

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

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

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

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

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