Solving Homogeneous ODEs of Class A - Maple Programming Help

Online Help

All Products    Maple    MapleSim


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

Solving Homogeneous ODEs of Class A

 

Description

Examples

Description

• 

The general form of the homogeneous equation of class A is given by the following:

homogeneousA_ode := diff(y(x),x)=f(y(x)/x);

homogeneousA_ode:=ⅆⅆxyx=fyxx

(1)
  

where f(y(x)/x) is an arbitrary function. See Kamke's book, p. 19. This type of ODE can be solved in a general manner:

Examples

withDEtools,odeadvisor

odeadvisor

(2)

odeadvisorhomogeneousA_ode

_homogeneous,class A,_dAlembert

(3)

dsolvehomogeneousA_ode

yx=RootOf∫_Z1f_a_aⅆ_a+lnx+_C1x

(4)

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

 


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