HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 420)

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101

Numerical Solve

Returns the numerical solution of an equation or a system of equations.

Optionally, you can use a third argument to specify a guess for the solution or an interval within which it is

expected that the solution will occur.

Optionally, you can use a fourth argument to name the iterative algorithm to be used by the solver.

If you are solving for a single variable, your options for an iterative algorithm are bisection_solver,

newton_solver, and newtonj_solver. If you are solving for two variables, your only option is newton_solver.

fSolve(Eq,Var) or fSolve(Expr, Var=Guess)

Examples:

fSolve(cos(x)=x,x,-1..1) returns [0.739085133215]

fSolve([x

+y-2,x+y

-2],[x,y],[0,0]) returns [1.,1.]

Dierential Equation

Returns the solution to a dierential equation.

deSolve(Eq,[TimeVar],Var)

Example:

desolve(y''+y=0,y) returns G_0*cos(x)+G_1*sin(x)

ODE Solve

Ordinary Dierential Equation solver. Solves an ordinary dierential equation given by Expr, with variables

declared in VectrVar and initial conditions for those variables declared in VectrInit. For example,

odesolve(f(t,y),[t,y],[t0,y0],t1) returns the approximate solution of y'=f(t,y) for the variables t and y with initial

conditions t=t0 and y=y0.

odesolve(Expr,VectVar,VectInitCond,FinalVal,[tstep=Val,curve])

Example:

odesolve(sin(t*y),[t,y],[0,1],2) returns [1.82241255674]

Linear System

Given a vector of linear equations and a corresponding vector of variables, returns the solution to the system

of linear equations.

linsolve([LinEq1, LinEq2,…], [Var1, Var2,…])

Example:

linsolve([x+y+z=1,x-y=2,2*x-z=3],[x,y,z]) returns [3/2,-1/2,0]

Rewrite

lncollect

Rewrites an expression with the logarithms collected. Applies ln(a)+n*ln(b) = ln(a*b^n) for an integer n.

lncollect(Expr)

Example:

372 Chapter 22 Functions and commands

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