A Treatise on Differential Equations, Volumen 1

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Macmillan, 1865 - 85 páginas
 

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Página 270 - Find the equation referred to polar co-ordinates of the curve in which the radius vector is equal to m times the length of the portion of the tangent intercepted between the point of contact and a straight line drawn from the pole to meet the tangent at a given angle. 9.
Página 23 - M and N being functions of the variables x and y. In this mode of representation x is regarded as the independent variable and y as the dependent variable. We may, however, regard y as the independent and x as the dependent variable, on which supposition the form of the typical equation will be...
Página vii - The question of the true value and proper place of symbolical methods is undoubtedly of great importance. Their convenient simplicity — their condensed power — must ever constitute their first claim upon attention. I believe however that, in order to form a just estimate, we must consider them in another aspect, viz. as in some sort the visible manifestation of truths relating to the intimate and vital connexion of language with thought — truths of which it may be presumed that we do not yet...

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