Solving Homogeneous ODEs of Class B
Description
Examples
The general form of the homogeneous equation of class B is given by the following:
homogeneousB_ode := F(diff(y(x),x), y(x)/x);
where F is an arbitrary functions of its arguments. See Differentialgleichungen, by E. Kamke, p. 19. This type of ODE can be solved in a general manner by dsolve and the coefficients of the infinitesimal symmetry generator are also found by symgen.
A pair of infinitesimals for homogeneousB_ode
The general solution for this ODE
Explicit or implicit results can be tested, in principle, using odetest:
See Also
DEtools
odeadvisor
dsolve
quadrature
linear
separable
Bernoulli
exact
homogeneous
homogeneousB
homogeneousC
homogeneousD
homogeneousG
Chini
Riccati
Abel
Abel2A
Abel2C
rational
Clairaut
dAlembert
sym_implicit
patterns
odeadvisor,types
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