%pi,numer;float(%pi);expand(x*(x-1)*(x+3)^2);factor(x^4+5*x^3+3*x^2-9*x);solve(2*%e^(x^2-1) = 3, x);reseni:solve(2*%e^(x^2-1) = 3, x);
float(reseni);diff(x^2*sin(x),x);vyraz : log(sqrt((x-1)/(x+1)));
derivace : diff(vyraz, x);
radcan(derivace);factor(diff(x^3/(x+1)^2,x,2));taylor(log((1+x)/(1-x)), x, 0, 7);derivace:diff(x^2/(x-1),x);
solve(derivace,x);integrate (x^2*sin(x),x);integrate (x^(1/2)*log(x),x,1,%e);rovnice : 'diff(y,x) = y/x + 1;
ode2(rovnice, y, x);
expand(ode2(rovnice, y, x));rovnice : 'diff(y,x) = y/x + 1;
reseni : ode2(rovnice, y, x);
ic1(reseni, x=1, y=-3);rovnice : 'diff(y,x,2) + 3*'diff(y,x) + 2*y = x;
ode2(rovnice, y, x);rovnice : 'diff(y,x,2) + 3*'diff(y,x) + 2*y = x;
reseni : ode2(rovnice, y, x);
ic2(reseni, x=0, y=0, 'diff(y,x)=3);plot2d(x^3-2*x^2,[x,-3,3]);plot2d(x^2*exp(-x),[x,-2,7],[y,0,2]);plot2d([x^2,2*x+1],[x,-3,3]);plot3d(x^2-y^2, [x,-1,1], [y,-1,1]);diff(y*x*sin(x+y^2), y);diff(y*x*sin(x+y^2), x, 3, y, 2);f:x^2*y^2-x^2-y^2;
solve([diff(f,x),diff(f,y)],[x,y]);A:matrix([9, 3, 5], [-6, -9, 7], [-1, -8, 1]);
rank(A);A:matrix([9, 3, 5], [-6, -9, 7], [-1, -8, 1]);
determinant(A);soustava:[x1+3*x2+4*x3=1, x1-x3=9, x1+x3=8];
reseni:solve (soustava,[x1,x2,x3]);