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330 Functions and commands
Differential
Equation
Returns the solution to a differential equation.
deSolve(Eq,[TimeVar],FncVar)
Example:
desolve(y''+y=0,y) gives c_0*cos(x)+c_1*sin(x)
ODE Solve Returns an approximate value of y at a final value (t1) of a
given variable, where y(t) is the solution of: y’(t)=f(t,y(t)),
y(t0)=y0.
odesolve(Expr(f(t,y)),VectVar([t,y]),Vec
tInitCond([t0,y0]),FinalVal(t1),[tstep=V
al,curve])
Example:
odesolve(sin(t*y),[t,y],[0,1],2) gives
[1.8224125572]
Linear System Returns the solution to a system of linear equations.
linsolve(LstLinEq,LstVar)
Example:
linsolve([x+y+z=1,x-y=2,2*x-z=3],[x,y,z])
gives [3/2,-1/2,0]
Rewrite
lncollect Returns an expression rewritten with the logarithms collected.
(applies ln(a)+n*ln(b)->ln(a*b^n) for integers n).
lncollect(Expr)
Example:
lncollect(ln(x)+2*ln(y)) gives ln(x*y^2)
powexpand Returns an expression with a power of sum rewritten as a
product of powers.
powexpand(Expr)
Example:
powexpand(2^(x+y)) yields (2^x)*(2^y)