Question: How do I Solve in Maple with conditions in Domain and Range

How do I find the solutions "left" and "right" with only answers in the range 0 to +1?

The domain of eq1 and eq2 is 0 <=beta <= 1.

So I'm only interested in left[1] and right[2]:

Here is the code:

eq[1]:=(1/6)*beta^3+(1/2)*xi^2*beta-(1/2)*beta^2-(1/2)*xi^2+(1/3)*beta = 0;

eq[2]:=(1/6)*beta*(beta^2+3*xi^2-6*xi+2) = 0;

left:=solve(eq[1],xi);

right:=solve(eq[2],xi);

left:=plot(left[1],beta=0..1,thickness=2,color=blue);

right:=plot(right[2],beta=0..1,thickness=2,color=blue);

Please Wait...