 Home

Codex Wiki

Mathematics

Area of mathematics

Analysis

Differential equation

Ordinary differential equation

Lie point symmetry of an ordinary differential equation

Prolongation of a vector field

{title2=$u''=(u')^2/u-u^2$}

The vector fields $(cx+d)\partial_x-2cu\partial_u$ generate
$$
(x,u)\longmapsto(\lambda x+a,\lambda^{-2}u).
$$
Their second prolongations multiply the differential equation by $-4c$, so they are infinitesimal Lie symmetries.


Affine-scaling symmetry of u double prime equals u prime squared over u minus u squared

Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 32E / Solution

Affine-scaling symmetry of u double prime equals u prime squared over u minus u squared ( $u^{''} = (u^{'})^{2} / u - u^{2}$ )

 Ancestors (8)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Affine-scaling symmetry of u double prime equals u prime squared over u minus u squared (u′′=(u′)2/u−u2)

 Ancestors (8)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

Affine-scaling symmetry of u double prime equals u prime squared over u minus u squared ( $u^{''} = (u^{'})^{2} / u - u^{2}$ )

 Discussion (0)