20021201
2-7-39
Using the Action Menu
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solve
Function: Returns the solution of an equation or inequality.
Syntax: solve (Exp/Eq/Ineq [,variable] [ ) ]
• For this syntax, “Ineq” also includes the
≠
operator.
• “
x
” is the default when you omit “[, variable]”.
solve (Exp/Eq,variable[, value, lower limit, upper limit] [ ) ]
• This syntax does not support “Ineq”, but the
≠
operator is supported.
• “value” is an initially estimated value.
• This command is valid only for equations and
≠
expressions when “value”
and the items following it are included. In that case, this command returns
an approximate value.
• A true value is returned when you omit “value” and the items following it.
When, however, a true value cannot be obtained, an approximate value is
returned for equations only based on the assumption that value = 0, lower
limit = –
⬁
, and upper limit =
⬁
.
solve ({Exp-1/Eq-1, ..., Exp-N/Eq-N}, {variable-1, ..., variable-N} [ ) ]
• When “Exp” is the first argument, the equation Exp = 0 is presumed.
Example: To solve
ax
+
b
= 0 for
x
Menu Item: [Action][Equation/Inequality][solve]
Example: To solve simultaneous linear equations 3
x
+ 4
y
= 5, 2
x
– 3
y
= –8
Menu Item: [Action][Equation/Inequality][solve]
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dSolve
Function: Solves first, second or third order ordinary differential equations, or a system of
first order differential equations.
Syntax: dSolve (Eq, independent variable, dependent variable [, initial condition-1, initial
condition-2][, initial condition-3, initial condition-4][, initial condition-5, initial
condition-6] [ ) ]
dSolve ({Eq-1, Eq-2}, independent variable, {dependent variable-1, dependent
variable-2} [, initial condition-1, initial condition-2, initial condition-3, initial
condition-4] [ ) ]
• If you omit the initial conditions, the solution will include arbitrary constants.
• Input all initial conditions equations using the syntax Var = Exp. Any initial condition that
uses any other syntax will be ignored.