Find equilibrium points maple

Question

I want to find the equilibrium points of the following differential equation in Maple:

y' = h(t-1) with h(t) = 1 if t>= 0 and h(t) = 0 otherwise

I tried using piecewise equations like this:

piecewise(t >= 0, h(t) = 1);

but I don't know how to continue because I need to solve for h(t-1) = 0 and not for 'h(t) = 0`.

Answer 1

Not sure I follow your question entirely but will try. First, define h as an operator

h := t->piecewise(t>0,1,0);

Then just solve for the zeros of the derivative?

solve(h(x-1)=0,x);

Which gives you the result RealRange(-infinity,1) Hope this is what you want.