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HP 50g Solving differential equations

The menu SYMBOLIC SOLVE How differential equations can be displayed The commands for symbolic solutions The built-in form for numeric solutions Practice solving differential equations

hp calculators HP 50g Solving differential equations The menu SYMBOLIC SOLVE The menu SYMBOLIC SOLVE menu is t he WHITE shifted function of the 7key. This menu contains commands for symbolically solving a great variety of problems. Two of these commands, DESOLVE and LDEC are for symbolically solving differential equations. To access the menu you press !Î.

Figure 1

How differential equations can be displayed On the HP50g differential equations can be denoted in two different ways. The first is to use some of the built-in differentiation commands. For example the differential equation:

can be denoted as:

or

or (if the current variable VX is X)

The second way to denote differential equations is to use the formal derivatives of the HP50g. Formal derivatives are written starting with the letter "d", then a number that indicates the position of the independent variable in the unknown formal function, then the unknown formal function followed by its arguments in parentheses. For example the above differential equation could be also written as:

where d1Y(X) means the derivative for the first variable (i.e. X) of Y(X). According to this rule of syntax the differential equation:

can be written as:

or

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HP 50g Solving differential equations

hp calculators HP 50g Solving differential equations or (if the current variable VX is X)

or

All intermixed notions will be also accepted as valid arguments. For example one could also write:

Notice that in all notions the unknown function is written as Y(X) and not simply as Y. This allows for the use of any possible name for the unknown function and its independent variable. The basic commands for symbolic solutions The command