1.

Solution of the differential equation \(x\frac{{dy}}{{dx}} = y + \sqrt {{x^2} + {y^2}}\) is

A. \(y - \sqrt {{x^2} + {y^2}} = c{x^2}\)
B. \(y + \sqrt {{x^2} + {y^2}} = c{x^2}\)
C. \(x + \sqrt {{x^2} + {y^2}} = c{y^2}\)
D. \(x - \sqrt {{x^2} + {y^2}} = c{y^2}\)
Answer» C. \(x + \sqrt {{x^2} + {y^2}} = c{y^2}\)


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