xdoubledotx5y1 ydoubledot2xy1 x00 xsingledot00 single dot d

x(doubledot)=x-5y+1

y(doubledot)=2x-y-1

x(0)=0

x(singledot)(0)=0

single dot / double dot means the amount of dots above the letter..

Solution

x\"=x-5y+1 y\"=2x-y-1 hence x=0.5*x^3-5y*x^2+x^2+c*x+D x\'=x^2-5yx+x+c as x(0)=0 x\'(0)=0 D=0,c=0 therefore 0.5*x^3 - 5*y*x^2+x^2-x=0