HP 40gs Manual do Utilizador descarregar pdf (Página 215)

100

101

Computer Algebra System (CAS) 14-33

Typing:

XQ(1.414213562)

gives:

√2

SOLV menu

The SOLV menu contains functions that enable you to

solve equations, linear systems, and differential

equations.

DESOLVE Solve differential equations

DESOLVE enables you to solve differential equations. (For

linear differential equations having constant coefficients,

it is better to use LDEC.)

DESOLVE has two arguments:

1. the differential equation where is written as d1Y(X)

(or the differential equation and the initial conditions

separated by AND),

2. the unknown Y(X).

The mode must be set to real.

Example 1

Solve:

y” + y = cos(x)

y(0)=c

y’(0) =c

Typing:

DESOLVE(d1d1Y(X)+Y(X) = COS(X),Y(X))

gives:

cC0 and cC1 are integration constants (y(0) = cC0 y’(0)

= cC1).

You can then assign values to the constants using the

SUBST command.

YX() cC0 x()cos⋅

x 2 cC1⋅+

--------------------------

x()sin⋅+=

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