Casio ClassPad 300 PLUS User Manual

Page 169

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20050501

2-7-40

Using the Action Menu

Example: To solve a differential equation

y

’ =

x

, where

y

= 1 when

x

= 0.

Menu Item: [Action][Equation/Inequality][dSolve]

Example: To solve the system of first order differential equations

y

’ =

y

+

z

,

z

’ =

y

z

,

where “

x

” is the independent variable, “

y

” and “

z

” are the dependent variables,

and the initial conditions are

y

= 3 when

x

= 0, and

z

= 2 – 3 when

x

= 0

Menu Item: [Action][Equation/Inequality][dSolve]

u

u

u

u

u rSolve

Function: Returns the explicit formula of a sequence that is defined in relation to one or

two previous terms, or a system of recursive formulas.

Syntax: rSolve (Eq, initial condition-1[, initial condition-2] [ ) ]

rSolve ({Eq-1, Eq-2}, {initial condition-1, initial condition-2} [ ) ]

Example: To obtain the

n

-th term of a recursion formula

a

n

+1

= 3

a

n

–1 with the initial

conditions

a

1

=1

Menu Item: [Action][Equation/Inequality][rSolve]

Example: To obtain the

n

-th term of a recursion formula

a

n

+2

– 4

a

n

+1

+ 4

a

n

= 0 with the

initial conditions

a

1

=1,

a

2

= 3

Menu Item: [Action][Equation/Inequality][rSolve]

Example: To obtain the

n

-th terms of a system of recursion formulas

a

n

+1

= 3

a

n

+

b

n

,

b

n

+1

=

a

n

+ 3

b

n

with the initial conditions

a

1

=2,

b

1

= 1

Menu Item: [Action][Equation/Inequality][rSolve]

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