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`(x^(2)-yx^(2))dy(y^(2)+xy^(2))dx=0` को हल कीजिए।

Answer» यहाँ पर `(x^(2)-yx^(2))dy(y^(2)+xy^(2))dx=0`
या `x^(2)(1-y)dy+y^(2)(1+x)dx=0`
या `(1-y)/(y^(2))dy+(1+x)/(x^(2))dx=0`
या `int(1-y)/(y^(2))dy+int(1+x)/(x^(2))dx=c`
या `int((1)/(y^(2))-(1)/(y))dy+int((1)/(x^(2))+(1)/(x))dx=c`
या `-(1)/(y)-log y-(1)/(x)+logx=c`
या `log((x)/(y))-(x+y)/(xy)=c`


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