Solving Homogeneous ODEs of Class G
Description
Examples
The general form of the homogeneous equation of class G is given by the following:
homogeneousG_ode := diff(y(x),x) = y(x)/x*F(y(x)/x^alpha);
where F is an arbitrary functions of its argument. 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 the homogeneousG_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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