Desolve – HP 49g Graphing Calculator User Manual

Page 136

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Output:

Flags:

See also:

The derivative, or a vector of the derivatives, of the
function or functions.

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

DERIV

DESOLVE

Type:

Command

Descriptiou:

Solves certain first-order ordinary differential equations

with respect to the current variable.

Access:

Symbolic solve,

0(SSv)

Input:

Level 2/Argument 1: A first-order differential equation.
Level 1/Argument 2: The function to solve for.

Output:

The solution to the equation, either

y as a

frmction of

x

or a: as a function of

y,

or

x

and

y

as fimctions of a

parameter.

Flags:

Exact mode must be set (flag -105 clear).

Numeric mode must not be set (flag -03 clear).

Example:

Solve the following differential equation:

y'ix)

-

1

- 2>’(x) =

Command:

D E S O L V E ( d l Y ( X ) + 2 * Y ( X ) = E X P { 3 * X ) , Y ( X ) )

Result:

{ Y ( X ) = ( 1 / 5 * E X P { 5 * X )

+ C 0 * )

( 1 / E X P ( X ) ^ ' 2 ) }

See also:

LDEC

DIV

Type:

Command

Description:

Returns the divergence of a vector function.

Access:

Calculus,

R(C

a

I

c

)

deriv

.

&

integ

.

Input:

Level 2/Argument 1: An array representing a vector
fimction.
Level 1/Ai'gument 2: An array containing the variables.

Output:

The divergence of the vector fimction with respect to
the specified variables.

Computer Algebra Commands

Page 14-13

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