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The Maxima on-line user's manual

Algebra Calculator

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Funcsolve Calculator

Funcsolve

Function: funcsolve (<eqn>, <g>(<t>)) Returns [<g>(<t>) = ...] or [], depending on whether or not there exists a rational function <g>(<t>) satisfying <eqn>, which must be a first order, linear polynomial in (for this case) <g>(<t>) and <g>(<t>+1)

eq1:log(A(t)*(1-R(t)))*exp(-%rho*t) + l*s*A(t)*R(t);
eq2: diff(eq1,R(t));
funcsolve (eq2, R(t));
eq3: diff(eq2,t)=0;
eq4: ((h*l)^(1-q)-1)/(1-q);
diff(eq4, l);

          (%i1) eqn: (n + 1)*f(n) - (n + 3)*f(n + 1)/(n + 1) =
                (n - 1)/(n + 2);
                                      (n + 3) f(n + 1)   n - 1
          (%o1)        (n + 1) f(n) - ---------------- = -----
                                           n + 1         n + 2
          (%i2) funcsolve (eqn, f(n));

Dependent equations eliminated: (4 3) n

          (%o2)                f(n) = ---------------
                                      (n + 1) (n + 2)

Warning: this is a very rudimentary implementation - many safety checks and obvious generalizations are missing.

(%o1)                                true
(%i2) 

Funcsolve Example

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