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grind-solve

e01: 25*x^2+30*x*y+9*...

e02: 1*x^2+2*x*y+1*y^...

e03: -1*x^2+2*x*y-1*y...

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-linsolve-ratsimp

eq1: b1 + b3*w + 2*b4...

eq2: b2 + b3*d + 2*b5...

grind(linsolve([eq1,e...

Calculate

grind-integrate

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind

N(x) := x/2+1/x;

x: 1;

a: N(x);

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-linsolve-ratsimp

eq1: b1 + b3*w + 2*b4...

eq2: b2 + b3*d + 2*b5...

grind(linsolve([eq1,e...

Calculate

grind-linsolve-tex

eq1:I + ri*(ta*Ba+tp*...

eq2:O + ro*((1-ta)*Ba...

eq3:Ba = (1-ta)*O+ta*I;

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind

Run Example
(%i1)simp:false;
(%o1)                                false
(%i2) radexpand:false;
(%o2)                                false
(%i3) 1/a, simp:false;
                                       1
(%o3)                                  -
                                       a
(%i4) 1/b, simp:false;
                                       1
(%o4)                                  -
                                       b
(%i5) 1/(a*b), simp:false;
                                       1
(%o5)                                 ---
                                      a b
(%i6) tellsimp(1/(a*b), ((1/a)*(1/b)));
(%o6)                         [/rule1, simpquot]
(%i7) 1/(a*b);
                                       1
(%o7)                                 ---
                                      a b
(%i8) disprule(all);
                                       1     1  1
(%t8)                        /rule1 : --- -> - (-)
                                      a b    a  b

(%o8)                                [%t8]
(%i9) 1/(a*b);
                                       1
(%o9)                                 ---
                                      a b
(%i10) properties("*");
(%o10)              [mirror symmetry, nary, rule, operator]
(%i11) rat(1/(a*b));
                                       1
(%o11)/R/                             ---
                                      a b
(%i12) map('ratsimp, 1/(a*b));
                                       1
(%o12)                                ---
                                      a b
(%i13) grind(1/(a*b));

1/(a*b)$
(%o13)                               done
(%i14) partfrac(1/(a*b), a);
                                     1  - 1
(%o14)                            + (- a   )
                                     b
(%i15) a^-1;
                                      - 1
(%o15)                               a
(%i16) 
Run Example
grind(diff(x^-16 - const,x));

-16/x^17$
(%o1)                                done
(%i2) 
Run Example
y(t) := b*t + a*t^2 + d*t^3 + e*t^4;
                                        2      3      4
(%o1)                  y(t) := b t + a t  + d t  + e t
(%i2) grind(diff(y(t),t));

4*e*t^3+3*d*t^2+2*a*t+b$
(%o2)                                done
(%i3) yp(t) := 3*d*t^2+2*a*t+b;
                                        2
(%o3)                     yp(t) := 3 d t  + 2 a t + b
(%i4) yp(t-1);
                                                 2
(%o4)                   2 a (t - 1) + 3 d (t - 1)  + b
(%i5) grind(ratsimp((23/12)*yp(t-1)-(4/3)*yp(t-2)+(5/2)*yp(t-3)));

(111*d*t^2+(74*a-486*d)*t+687*d+37*b-162*a)/12$
(%o5)                                done
(%i6) 

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