Solving Separable ODEs - Maple Help

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Solving Separable ODEs

 

Description

Examples

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

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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