[comp.sys.handhelds] Questions on 48: diff eq's and algebra

akcs.brentlz@hpcvbbs.UUCP (Brent Ellzey) (01/28/91)

As to your first question...I don' believe that the 48 can solve
diff-eq's directly entered as alebraic objects. As I understand it,
the 48 uses patern matching of built in (and user defined) functions 
to symbolically integrate/differentiate...A numerical method would 
more than likely be necessary to solve diff-eq's...

2) Yes, there are ways to manipulate algebraics...I don't know 
   about being "easier"...see chapter 22: Algebra in volume 1
   of the Owner's manual.

3) "An Easy course in Using the HP-48SX" is available from 
   Grapevine Publications for $22.00
   P.O. Box 2449, Corvallis, OR 97339-9960  1-800-338-4331
   the info I have says to add $10.00 for postage to Canada...

   This may also be available from Educalc, 27953 Cabot Road,
   Laguna Niguel, CA 92677 USA...They also charge $10.00 fo
   r shipping to Canada...

   Although I haven't seen this book, I can feel relatively safe
   in suggesting it as Grapevine is known for high quality 
   publications( Really, I don't work for them :-)

Hope this was helpful...Brent Ellzey
                        Aerospace Engineering( undergrad )
                        University of Arizona...go Wildcats!

billw@hpcvra.cv.hp.com. (William C Wickes) (01/29/91)

The Mathematical Applications book for the HP 28 contained programs for
solving 2nd-order linear DEQ's, including the inhomogeneous case where
the inhomogeneous part could contain any sum of exponential terms.  Those
programs should run unchanged on the HP 48.

Educalc has this book at $9.95 (it's a "Step-by-Step" book).

Bill Wickes
HP Corvallis

c_s244010117@stat.appstate.edu (01/29/91)

> the 48 uses patern matching of built in (and user defined) functions 
> to symbolically integrate/differentiate...A numerical method would 
> more than likely be necessary to solve diff-eq's...

This may be true, but there are ways of making it easier to solve higher order
d.e.'s! Using Wayne Scott's polynomial routines to find the roots of the
characteristic polynomial makes finding the homogeneous solution of a higher
order d.e. a breeze! If you have a non-homogeneous equation that can be solved
using undetermined coefficients, all you have to do is enter your d.e. and your
solution with undetermined coefficients [store this one in Y if using
dX(dX(Y))]. Make sure your d.e. is at stack level 1, and evalutate it until it
doesn't change. Equate coefficients and solve the resutling equations! Its
easier than it sounds, and it is really helpful. As far as first order d.e.'s, I
don't know how to accomplish these.........