& gt& gt symbol x
& gt& gty = sin(3 * x)/(2 * x);
& gt& gt limit (y, x, 0)
ans =
3/2
(2)
& gt& gt symbol x
& gt& gty =(x^3+2*x^2- 1)/(2*x^2+3*x+ 1);
& gt& gt limit (y, x, inf)
ans =
Medium-range nuclear force
2.
& gt& gt symbol x
& gt& gty = 2+x^(3/2)-x;
& gt& gty 1 = diff(y,x)
y 1 =
(3*x^( 1/2))/2 - 1
& gt& gtsubs(y 1,x, 1)
ans =
0.5000
3.( 1)
& gt& gt symbol x
& gt& gty = log(x)/x;
& gt& gtint(y)
ans =
log(x)^2/2
(2)
& gt& gt symbol x
& gt& gty = exp(x)/( 1+exp(2 * x));
& gt& gtint(y,x,0, 1)
ans =
atan(exp( 1)) - pi/4
3.( 1)
& gt& gty = dsolve('Dy = y*sin(x)',' x ')
y =
C2/ exit (cos(x))
(2)
& gt& gty = dsolve('x*Dy+3*y=0 ',' y( 1)=2 ',' x ')
y =
2/x^3