This first situation may or may not be a bug.

 

restart;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

interval := -2..2;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

Student[Calculus1][CriticalPoints](x^2, x=interval);

 

Notice the change in output when the variable "interval" has a value.

The second situation is definitely a big problem:

restart;

ode1:= diff(y(x),x) = y(x)*(y(x)-1)*x;
ode2:= diff(y(x),x) = y(x)*(y(x)-1)*(x-a);

IC := y(0)=y0;

dsolve( ode1 );dsolve( ode2 );

dsolve( {ode1, IC} );dsolve( {ode2,IC} );
 

 

Maple cannot seem to solve the second ODE with an initial condition.


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