DSolve[Derivative[1][y][x] == (1/64 + x^2/16 + x^5/2 + x^6 + (3*x^2*y[x])/16 + (x^4*y[x])/2 + (3*x^4*y[x]^2)/4 + x^6*y[x]^2 + x^6*y[x]^3)/x^8,y[x],x]