Sponsored links: Algebra eBooks

### Related

##### funcsolve

funcsolve(f(n+m)=f(n)...

Calculate

##### funcsolve

t=const;

eq1:ds*(ta-t)+r*t*ln(...

eq2:k1+k2/t-ln(w)=0;

Calculate

##### funcsolve

eqn: (n + 1)*f(n) - (...

funcsolve (eqn, f(n));

Calculate

##### funcsolve

eq1:ds*(ta-t)+r*t*ln(...

eq2:ln(w)=k1+k2/t;

funcsolve(eq1,ln(w));

Calculate

##### funcsolve

eq1:ds*(ta-t)+r*t*ln(...

eq2:k1+k2/t-ln(w)=0;

funcsolve(eq2,ln(w));

Calculate

##### funcsolve

eqn: (n + 1)*f(n) - (...

funcsolve (eqn, f(n));

Calculate

##### funcsolve

funcsolve(f(n+1)=f(n)...

Calculate

##### funcsolve

eq1:ds*(ta-t)+r*t*ln(...

eq2:k1+k2/t-ln(w)=0;

funcsolve(eq2,ln(w));

Calculate

##### funcsolve

funcsolve(f(n*m)=f(n)...

Calculate

##### funcsolve

funcsolve(f(n+m)=f(n)...

Calculate

### funcsolve

Run Example
```(%i1)eq1:log(A(t)*(1-R(t)))*exp(-%rho*t) + l*s*A(t)*R(t);
- %rho t
(%o1)           %e         log(A(t) (1 - R(t))) + l s A(t) R(t)
(%i2) eq2: diff(eq1,R(t));
- %rho t
%e
(%o2)                        l s A(t) - ----------
1 - R(t)
(%i3) funcsolve (eq2, R(t));
- %rho t        %rho t
%e         (l s %e       A(t) - 1)
(%o3)              R(t) = ----------------------------------
l s A(t)
(%i4) eq3: diff(eq2,t)=0;
- %rho t  d
%e         (-- (R(t)))                            - %rho t
dt                d            %rho %e
(%o4)  - ---------------------- + l s (-- (A(t))) + --------------- = 0
2              dt              1 - R(t)
(1 - R(t))
(%i5) eq4: (h*l)^(1-q)-1/(1-q);
1 - q     1
(%o5)                         (h l)      - -----
1 - q
(%i6) diff(eq4, h);
1 - q
(h l)      (1 - q)
(%o6)                         ------------------
h
(%i7) ```
Run Example
```eq1:log(A(t)*(1-R(t)))*exp(-%rho*t) + l*s*A(t)*R(t);
- %rho t
(%o1)           %e         log(A(t) (1 - R(t))) + l s A(t) R(t)
(%i2) eq2: diff(eq1,R(t));
- %rho t
%e
(%o2)                        l s A(t) - ----------
1 - R(t)
(%i3) funcsolve (eq2, R(t));
- %rho t        %rho t
%e         (l s %e       A(t) - 1)
(%o3)              R(t) = ----------------------------------
l s A(t)
(%i4) eq3: diff(eq2,t)=0;
- %rho t  d
%e         (-- (R(t)))                            - %rho t
dt                d            %rho %e
(%o4)  - ---------------------- + l s (-- (A(t))) + --------------- = 0
2              dt              1 - R(t)
(1 - R(t))
(%i5) eq4: ((h*l)^(1-q)-1)/(1-q);
1 - q
(h l)      - 1
(%o5)                           --------------
1 - q
(%i6) diff(eq4, l);
1 - q
(h l)
(%o6)                             ----------
l
(%i7) ```
Run Example
```eq1:log(A(t)*(1-R(t)))*exp(-%rho*t) + l*s*A(t)*R(t);
- %rho t
(%o1)           %e         log(A(t) (1 - R(t))) + l s A(t) R(t)
(%i2) eq2: diff(eq1,R(t));
- %rho t
%e
(%o2)                        l s A(t) - ----------
1 - R(t)
(%i3) funcsolve (eq2, R(t));
- %rho t        %rho t
%e         (l s %e       A(t) - 1)
(%o3)              R(t) = ----------------------------------
l s A(t)
(%i4) eq3: diff(eq2,t)=0;
- %rho t  d
%e         (-- (R(t)))                            - %rho t
dt                d            %rho %e
(%o4)  - ---------------------- + l s (-- (A(t))) + --------------- = 0
2              dt              1 - R(t)
(1 - R(t))
(%i5) eq4: ((h*l)^(1-q)-1)/(1-q);
1 - q
(h l)      - 1
(%o5)                           --------------
1 - q
(%i6) diff(eq4, h);
1 - q
(h l)
(%o6)                             ----------
h
(%i7) ```

### Related Help

Help for Funcsolve