ODE No. 840

y(x)=ey(x)x(x3+xey(x)x+ey(x)xy(x))x Mathematica : cpu = 0.289763 (sec), leaf count = 30

DSolve[Derivative[1][y][x] == (E^(y[x]/x)*(x/E^(y[x]/x) + x^3 + y[x]/E^(y[x]/x)))/x,y[x],x]
 

{{y(x)xlog(x23+e3c13x)}} Maple : cpu = 0.07 (sec), leaf count = 19

dsolve(diff(y(x),x) = (exp(-y(x)/x)*y(x)+exp(-y(x)/x)*x+x^3)*exp(y(x)/x)/x,y(x))
 

y(x)=ln(3xx3+c1)x