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अवकल समीकरणों को हल कीजिये (1+x^(2))(d...

अवकल समीकरणों को हल कीजिये
`(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2))`(दिया है y=0 जब x=1)

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(1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1

(1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1

(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2));y=0 if x=1

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

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

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

(dy)/(dx)-(xy)/(1-x^(2))=(1)/(1-x^(2))

(1+x+xy^(2))(dy)/(dx)+(y+y^(3))=0