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Mathematics
Problem
13. The general solution of the differential equation `
y
d
x
−
x
d
y
y
=
0
\frac{y d x-x d y}{y}=0
y
y
d
x
−
x
d
y
=
0
` is (A) `
x
y
=
C
x y=\mathrm{C}
x
y
=
C
` (B) `
x
=
C
y
2
x=\mathrm{C} y^{2}
x
=
C
y
2
` (C) `
y
=
C
x
y=\mathrm{C} x
y
=
C
x
` (D) `
y
=
C
x
2
y=\mathrm{C} x^{2}
y
=
C
x
2
` (A) `
x
y
=
C
x y=\mathrm{C}
x
y
=
C
` (B) `
x
=
C
y
2
x=\mathrm{C} y^{2}
x
=
C
y
2
` (C) `
y
=
C
x
y=\mathrm{C} x
y
=
C
x
` (D) `
y
=
C
x
2
y=\mathrm{C} x^{2}
y
=
C
x
2
`
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