The solution of $\frac{d y}{d x}=\frac{x}{y}$ is- (a) $\frac{y^{2}}{2}-\frac{x^{2}}{2}=k$ (b) $\frac{x^{2}}{2}+\frac{y^{2}}{2}=k$ (c) $\frac{x-y}{2}=k$ (d) $\frac{x+y}{5}=k$ - Noon Academy

The solution of $\frac{d y}{d x}=\frac{x}{y}$ is- (a) $\frac{y^{2}}{2}-\frac{x^{2}}{2}=k$ (b) $\frac{x^{2}}{2}+\frac{y^{2}}{2}=k$ (c) $\frac{x-y}{2}=k$ (d) $\frac{x+y}{5}=k$

Maths | Previous Year Question Papers

The solution of $\frac{d y}{d x}=\frac{x}{y}$ is- (a) $\frac{y^{2}}{2}-\frac{x^{2}}{2}=k$ (b) $\frac{x^{2}}{2}+\frac{y^{2}}{2}=k$ (c) $\frac{x-y}{2}=k$ (d) $\frac{x+y}{5}=k$

Sol:
Correct option is A. $\frac{y^{2}}{2}-\frac{x^{2}}{2}=k$

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