Data input for Infinity:

SupT := 10
l1 := 0.01*diff(x1(t),t) - x2(t) = -x1(t)^2
l2 := x1(t) + diff(x2(t),t) = 0
analysis({l1, l2, x1(0) := 0.25, x2(0) := 0.0575}, {x1(t), x2(t)})

The solutions received by Infinity are precise solutions of the entered system of the nonlinear ordinary differential equations:



Data input for Maple:

Digits := 50:SupT := 10;
l1 := 0.01*diff(x1(t),t) - x2(t)= -x1(t)^2;
l2 := x1(t) + diff(x2(t),t) = 0;
sol := dsolve({l1,l2,x1(0) = 0.25, x2(0) = 0.0575},{x1(t),x2(t)}, type = numeric, method=lsode);

Solutions received by Maple:
a) method:=lsode

b) method:=taylorseries

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