Systems of differential equations

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Display solutions of the ordinary differential equation

[math] y_1'= f_1(x,y_1,y_2)[/math]
[math] y_2'= f_2(x,y_1,y_2)[/math]

with initial values [math](x_0,y_1)[/math], [math](x_0,y_2)[/math].

f1(x,y1,y2)=
f2(x,y1,y2)=