Systems of differential equations

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,c_1)[/math], [math](x_0,c_2)[/math].

f₁(x,y1,y2)=
f₂(x,y1,y2)=