Solving Separable ODEs - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Differential Equations : Classifying ODEs : First Order : odeadvisor/separable

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));

separable_ode:=ⅆⅆxyx=fxgyx

(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

withDEtools,odeadvisor

odeadvisor

(2)

odeadvisorseparable_ode

_separable

(3)

dsolveseparable_ode

∫fxⅆx∫yx1g_aⅆ_a+_C1=0

(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?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam