DEtools - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Differential Equations : DEtools : Solving Methods : DEtools/chinisol

DEtools

  

chinisol

  

find solutions of a first order Chini ODE

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

chinisol(lode, v)

Parameters

lode

-

first order differential equation

v

-

dependent variable of the lode

Description

• 

See the Chini command for the format of the Chini ODE.

• 

The chinisol routine determines if the first argument is a first order Chini ODE and, if so, attempts to find a solution to the equation by using the associated methods.

• 

The first argument is a differential equation in diff or D form and the second argument is the function in the differential equation.

• 

This function is part of the DEtools package, and so it can be used in the form chinisol(..) only after executing the command with(DEtools). However, it can always be accessed through the long form of the command by using DEtools[chinisol](..).

Examples

withDEtools:

Kamke, 1.52

odeⅆⅆxyx=ayx5+bx54

odeⅆⅆxyx=ayx5+bx54

(1)

chinisolode,yx

yx=4RootOf4_Z11024_a5ab4+_a1ⅆ_a+lnx+4_C1bx14

(2)

odeⅆⅆxyx=fx1nⅆⅆxgxyxnagx+bn+ⅆⅆxfxyxfx+fxⅆⅆxgx

odeⅆⅆxyx=fx1nⅆⅆxgxyxnagx+bn+ⅆⅆxfxyxfx+fxⅆⅆxgx

(3)

chinisolode,yx

yx=RootOf_Zfx1nⅆⅆxgxagx+bnn1fxⅆⅆxgx2n+1nⅆⅆxgx3agx+bn1fx2nannn_afx1nⅆⅆxgxagx+bnn1fxⅆⅆxgx2n+1nⅆⅆxgx3agx+bn1fx2nannn+fx1nⅆⅆxgxagx+bnn1fxⅆⅆxgx2n+1nⅆⅆxgx3agx+bn1fx2nannn+_anⅆ_alnagx+b+_C1fxagx+ba

(4)

See Also

DEtools

dsolve