|
Solving Separable ODEs
|
|
Description
|
|
|
•
|
The general form of a separable ODE is given by the following:
|
|
>
|
separable_ode := diff(y(x),x)=f(x)*g(y(x));
|
|
| (1) |
|
|
where f(x) and g(y) are arbitrary functions. See Differentialgleichungen, by E. Kamke, p. 15. This type of ODE can be solved in a general manner by dsolve.
|
|
|
|
Examples
|
|
|
>
|
|
|
![[odeadvisor]](/support/helpjp/helpview.aspx?si=6692/file04385/math31.png)
| (2) |
|
>
|
|
|
![[_separable]](/support/helpjp/helpview.aspx?si=6692/file04385/math38.png)
| (3) |
|
>
|
|
|
| (4) |
|
|
|
See Also
|
|
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
Was this information helpful?
