# 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

## Snapshots

## Details

Reference

[1] V. I. Smirnoff, *Lectures in Higher Mathematics*, Vol. 2, Moscow: Nauka, 1967 pp. 48–50.

## Permanent Citation

"Smirnoff's Graphic Solution of a Second-Order Differential Equation"

http://demonstrations.wolfram.com/SmirnoffsGraphicSolutionOfASecondOrderDifferentialEquation/

Wolfram Demonstrations Project

Published: February 6 2014