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

अवकल समीकरणों को हल कीजिये -
`(1+x^(2))(dy)/(dx)+2xy=(2)/(x^(2)-1)`

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

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

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

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

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

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

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

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

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