2.662   ODE No. 662

y(x)=x2x24y(x)+2x+1+x2+12

Mathematica : cpu = 0.311375 (sec), leaf count = 37

DSolve[Derivative[1][y][x] == 1/2 + x/2 + x^2*Sqrt[1 + 2*x + x^2 - 4*y[x]],y[x],x]
 
{{y(x)136(4x6+24c1x3+9x2+18x+936c12)}}

Maple : cpu = 0.288 (sec), leaf count = 26

dsolve(diff(y(x),x) = 1/2*x+1/2+x^2*(x^2+2*x+1-4*y(x))^(1/2),y(x))
 
c12x33x2+2x+14y(x)=0