Solving Exact ODEs
The general form of the exact ODE is given by:
exact_ode := D(C)(x,y(x))*diff(y(x),x)+D(C)(x,y(x))=0;
where C is an arbitrary function of its arguments. See Kamke's book, p. 28. This type of ODE can be solved in a general manner by dsolve, and the infinitesimals can also be determined by symgen.
Implicit or explicit results can be tested using odetest
A pair of infinitesimals for exact_ode are given by
Symmetries can be tested as well using symtest
DEtools, odeadvisor, dsolve, and ?odeadvisor,<TYPE> where <TYPE> is one of: quadrature, linear, separable, Bernoulli, exact, homogeneous, homogeneousB, homogeneousC, homogeneousD, homogeneousG, Chini, Riccati, Abel, Abel2A, Abel2C, rational, Clairaut, dAlembert, sym_implicit, patterns; for other differential orders see odeadvisor,types.
Download Help Document