Suppose that the first-order differential equation dydx
Chapter 1, Problem 1.1.109(choose chapter or problem)
Suppose that the first-order differential equation dydx f(x, y) possesses a one-parameter family of solutions and that f(x, y) satisfies the hypotheses of Theorem 1.2.1 in some rectangular region R of the xy-plane. Explain why two different solution curves cannot intersect or be tangent to each other at a point (x0, y0) in R.
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