Is the equation $x ^ { 2 } - y ^ { 2 } = C$ , for C a constant, a solution to the differential equation $\frac { d y } { d x } = - \frac { x } { y }$ ?

Name: Is the equation $x ^ { 2 } - y ^ { 2 } = C$ , for C a constant, a solution to the differential equation $\frac { d y } { d x } = - \frac { x } { y }$ ?
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The Answer of Is the equation $x ^ { 2 } - y ^ { 2 } = C$ , for C a constant, a solution to the differential equation $\frac { d y } { d x } = - \frac { x } { y }$ ?

Is the Equation x2−y2=Cx ^ { 2 } - y ^ { 2 } = Cx2−y2=C

Is the Equation $x ^ { 2 } - y ^ { 2 } = C$