For example, given two zero-one n*n Matrices R and S. Find their transitivities (find [a,b] that satisfy R_a,x = 1 and S_x,b = 1)

How can I do this?

So I recently bought a new desktop with Windows 10 installed. The problem is hard to describe so I put a picture. This problem occurs randomly (Mostly occurs after I click the right button, when browsing the option in the pop-up toolbar).

When this problem happens, if I move my mouse to any toolbar which suppose to pop-up a toolbar, the pop-up toolbar wont disspear. And ultmately leads to the picture I showned above.

Sorry for the bad explaintion but it is just like I said, it is hard to describe the problem. This PC arrives around Christmas and I downloaded Maple last week. And it never have been normal. This issue also happens to NetLogo (A model simulation software).

I asked DELL's technique services and they did a remote control to help me fix the issue. However, the problem doesn't solved (They worked on this for about 3 hours). It seems the only choice I have is to reinstall the Windows. 

Does anyone have met this problem or know who met it before? Please let me know and I'm really appreciate it.

I want to plot some oscillating function (function involve sin and cos) as a function to time (t). And when I try a large interval like t=0..1000, it is going to take forever to plot the graph and the system becomes a little laggy. Is there any way I can do to make it compute quickly?

Thank you all

Sorry I can't make it very easy to understand in the title, this is what I want:

In the forms of Method of Underdetermined Coefficient a*y''+b*y'+c*y=F(x), I want the maple to assume b^2 < 4ac so the homogenous will contain sin and cos. Is there any quick command to do this or I have to develop on my own? 

I want this because I want to set the coefficient unknown and graph them, so if I do what Maple default does, when I plug the coefficients (which b^2<4ac) it returns imaginary numbers and I don't know how do deal with it.

Thank you for everyone helping.

As the title states, I want to have an equation f(x), and f(x) = 0 if x < 0, f(x) = x if x >= 0. How could I accomplish this?

I'm actually trying to generating a differential equation something like y'(x) + k*h(y) = sin(x) where h(y) is what I described above. Is there any convenient way to do this?