(a) Consider the differential equation: dy y – a2. da Prove that the isoclines are given by vertically shifted parabolas y a2 + C. (b) Show that the slopes are negative outside of the parabola y x2 and posi- tive inside the parabola y = a2. (c) Sketch the gradient field. (d) Sketch a possible solution curves that passes through the direction field.

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