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$$y = cx - c^2$$ is a general solution of the differential equation
$$\left(\frac {dy}{dx}\right)^2 - x \left(\frac {dy}{dx}\right) + y = 0$$
$$\frac {d^2 y}{dx^2} = 0$$
$$\frac {dy}{dx} = c $$
$$\frac {d^3 y}{dx^3} = 0$$
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