(a) Let a family of curves be integral curves of a differential equation y'= f(x, y). Let a second family have the property that at each point P = (x, y), the angle from the curve of the first family through P to the curve of the second family through P is a. Find the differential equation describing the curves of the second family. (b) Use this result to find the curves that form the angle with all circles x² + y² = c².

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