Systems of differential equations

Display solutions of the ordinary differential equation

[math]\displaystyle{ y_1'= f_1(x,y_1,y_2) }[/math]

[math]\displaystyle{ y_2'= f_2(x,y_1,y_2) }[/math]

with initial values [math]\displaystyle{ (x_0,y_1) }[/math], [math]\displaystyle{ (x_0,y_2) }[/math].

f₁(x,y1,y2)=
f₂(x,y1,y2)=