Smirnoff's Graphic Solution of a Second-Order Differential Equation
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This Demonstration shows a method of graphically approximating solutions of second-order differential equations. Let be a given differential equation, be the arc length of an integral curve, and the angle between the tangent and the axis. Therefore , . Differentiate the first equation to get .
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Contributed by: Izidor Hafner (February 2014)
Open content licensed under CC BY-NC-SA
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[1] V. I. Smirnoff, Lectures in Higher Mathematics, Vol. 2, Moscow: Nauka, 1967 pp. 48–50.
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