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The solution of x^2+y^2(dy)/(dx)=4 is a....

The solution of `x^2+y^2(dy)/(dx)=4` is a. `x^2+y^2=12 x+C` b. `x^2+y^2=3x+C` c. `x^3+y^3=3x+C` d. `x^3+y^3=12 x+C`

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`y^{2} frac{d y}{d x}=4-x^{2}`

` y^{2} d y=4 d x-x^{2} d x`

` Rightarrow frac{y^{3}}{3}=4 x-frac{x^{3}}{3}+c / 3`

` Rightarrow x^{3}+y^{3}=12 x+c`

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