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HP 48G Series User Manual

HP 48G Series
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Lesson
33:
Differential
Equations
The
examples
in
this
lesson
show
you
how
to
solve
an
initial-value
problem
for
a
first-order
differential
equation
and
how
to plot
a
phase
plane
solution
of
a
differential
equation.
Example:
Find
y(t)
for
t
=
8
where
Y/(T)
=
ToT
—2Y?
and
Y
(0)
=
0.
Find
the
answer
to
within
an
error
tolerance
of
1077.
Step
1:
Select
Zomlue
diff
29...
in
the
SOLVE
application.
©)
-0LvE)
(WY)
(ENTER
FE
SOLVE
V'(T)=F(T.V)
3
F:
INDE:
%
INIT:
B
FINAL:G.
5
SOLN:
YY
INIT:
@
FINAL:
TOL:
,
BAEA1
STEP:
DF
11
_
STIFF
|
ENTER
FUNCTION
OF INDEP
AND
SOLM
EOIT
[CHOOZ]
|
[INIT+
Step
2:
Enter
the
right
hand
expression
(1372
—
2Y?)
into
F.
Notice
that
the
variables
appear
in
the
menu
as
soon
as
you
begin
the
command
line,
so
that
you
can
use
them
as
typing
aids.
OI@DIBV@TE
202
YD?
ENTER)
(o)
T
(ENTER)
SE
SOLVE
Y'(TI=FCT.Y)
88
F
"1/C1+T
202%"
INpER:
T
INIT:
[Eli
FiNGL:E.
5S
SOLN:
INIT:
B
FINAL:
TOL:
,
BBEA1
STEP:
Df
11
_STIFF
ENTER
INITIAL
INDEP
VAR
VALLE
TR
IN
I
TE
Step
3:
Check
the
remaining
fields.
You
are
using
the
default
values
for
the
solution
(%')
variable
name
as
well
as
for
the
initial
values
(&
and
#).
You
can
use
the
default
value
for
ZTEF:
(the
iterative
step
size)
as
well.
Change
the
final
value
for
T
to
&,
and
the
tolerance
to
1E~7.
(>)
8
(ENTER
BE
SOLVE
Y'(TI=FOT.¥)
358
F:
"1AC1+T
20-252!
WM1EX)T
INDER:
T
INIT:
B
FINAL:
3
OLN:
YY
INIT:
@
FINAL:
TOL:
,
BABR,,
STEP:
[IEA
_
STIFF
ENTER
INITIAL
STEP
SIZE
[ET]
|
|
[INIT+
[SOLVE]
Calculus,
Statistics
and
Advanced
Mathematics
7-11

Table of Contents

Other manuals for HP 48G Series

Preview: User Guide
User Guide612 pages
Preview: Advanced User's Reference Manual
Advanced User's Reference Manual764 pages

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HP 48G Series Specifications

General IconGeneral
ModelHP 48G Series
TypeGraphing Calculator
Display TypeLCD
Display Size131x64 pixels
Programming LanguageRPL (Reverse Polish Lisp)
Memory32 KB RAM
ProcessorSaturn
Power Supply3x AAA batteries
ConnectivityInfrared (IR)

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