The solution of the differential equation \( x d y-y d x=\left(\sqrt{x^{2}+y^{2}}\right) d x \) ....

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The solution of the differential equation \( x d y-y d x=\left(\sqrt{x^{2}+y^{2}}\right) d x \) is
\( \mathrm{P} \)
(1) \( y-\sqrt{x^{2}+y^{2}}=c x^{2} \)
(2) \( y+\sqrt{x^{2}+y^{2}}=c x^{2} \)
(3) \( y+\sqrt{x^{2}+y^{2}}+c x^{2}=0 \)
(4) None of these


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