HP NW280AAABA Bedienungsanleitung PDF herunterladen (Seite 338)

100

101

332 Functions and commands

Differential

Equation

Returns the solution to a differential equation.

deSolve(Eq,[TimeVar],Var)

Example:

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

ODE Solve Ordinary Differential Equation solver. Solves an ordinary

differential 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,Final

Val,[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:

lncollect(ln(x)+2*ln(y)) returns ln(x*y^2)

powexpand Rewrites an expression containing a power that is a sum or

product as a product of powers. Applies

a^(b+c)=(a^b)*(a^c).

powexpand(Expr)

Example:

powexpand(2^(x+y)) yields (2^x)*(2^y)

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