Find the solution of the differential equation that satisfies the given initial condition.

Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = -2

Answer

ydy = xdx y2/2 = x2/2 + C y = -sqrt(x2 + C) y(0) = -2

y = -sqrt(x2 + 4)

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