(a) If a > 0, discuss the differences, if any, between the solutions of the initial-value problems consisting of the differential equation dy/dx = x/y and each of the initial conditions y(a) == a, y(a)=-a, y(-a) = a, and y(-a)=-a.
(b) Does the initial-value problem dy/dx = x/y, y(0)= 0 have a solution?
(c) Solve dy/dx = x/y, y(1) = 2 and give the exact interval I of definition of its solution.
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