Question: Draw curve

Good Morning, I´m sorry, but be unable to write English. I have following problem:

I need draw curve.

This is all right:

with(DEtools); with(plots):

r1 := diff(x(t), t) = (x(t)-y(t))/sqrt(x(t)^2+y(t)^2);

r2 := diff(y(t), t) = (x(t)+y(t))/sqrt(x(t)^2+y(t)^2);

sys := {r1, r2};

DEplot(sys, {x(t), y(t)}, t = 0 .. 1, x = -1 .. 1, y = -1 .. 1, stepsize = 0.5);

But when I draw curve, that it I cannot... I want enter initial conditions - y(1)=1 and y(1)=-1

Give advice me?

 

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