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VectorCalculus

  

Wronskian

  

computes the Wronskian of a function f : R -> R^n

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Wronskian(f, t, det)

Parameters

f

-

list(algebraic); a list of expressions defining a function from  to n

t

-

name; the variable of differentiation

det

-

(optional) equation of the form determinant = true or false; specify whether to return the determinant (default: determinant = false)

Description

• 

The Wronskian(f, t) command computes the Wronskian Matrix of the function f with respect to the variable t.  This is an n×n Matrix A such that Aij=ⅆj1ⅆtj1fit where n=nopsf.

• 

The det option specifies whether the determinant of the Wronskian matrix is also returned.  If given as determinant = true, or just determinant, then an expression sequence containing the Wronskian matrix and its determinant is returned.

Examples

withVectorCalculus:

Wronskianexpt,sint,cost,t

ⅇtsintcostⅇtcostsintⅇtsintcost

(1)

Wronskiant3,t4,t

t3t43t24t3

(2)

Wronskiant3,t4,t,determinant

t3t43t24t3,t6

(3)

Compatibility

• 

The determinant option was introduced in Maple 15.

• 

For more information on Maple 15 changes, see Updates in Maple 15.

See Also

simplify[wronskian]

VectorCalculus

VectorCalculus[Hessian]

VectorCalculus[Jacobian]