The general solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y+\sqrt{x^2-y^2}}{x}$ is
- A$\sin ^{-1} y=\log x+c$, where c is a constant of integration.
- B$\frac{y}{x}=\sin ^{-1} x+\mathrm{c}$, where c is a constant of integration.
- C$\frac{y}{x}=\sqrt{x^2-y^2}+\mathrm{c}$, where c is a constant of integration.
- D$\sin ^{-1}\left(\frac{y}{x}\right)=\log x+\mathrm{c}$, where c is a constant of integration.
✓ Correct answer: D
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