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DEtools

  

separablesol

  

find solutions of a separable first order ODE

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

separablesol(lode, v)

Parameters

lode

-

first order differential equation

v

-

dependent variable of the lode

Description

• 

The separablesol routine determines whether the first argument is a separable first order ODE and, if so, returns a solution to the equation.

• 

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

• 

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

Examples

withDEtools:

odet2zt+1+zt2t1ⅆⅆtzt=0

odet2zt+1+zt2t1ⅆⅆtzt=0

(1)

separablesolode,zt

zt=ⅇRootOfⅇ2_Z+t24ⅇ_Z+2lnt1+2_C1+2_Z+2t+31

(2)

odetzt3Dzt+4zt=0

odetzt3Dzt+4zt=0

(3)

separablesolode,zt

zt=ⅇLambertW13t4/3ⅇ43_C1+43lnt+43_C1

(4)

See Also

DEtools

dsolve