2.638   ODE No. 638

y(x)=y(x)(log(log(y(x)))log(x))

Mathematica : cpu = 0.0982974 (sec), leaf count = 41

DSolve[Derivative[1][y][x] == (-Log[x] + Log[Log[y[x]]])*y[x],y[x],x]
 
Solve[1y(x)1K[1](xlog(x)+log(K[1])xlog(log(K[1])))dK[1]=log(x)+c1,y(x)]

Maple : cpu = 0.429 (sec), leaf count = 34

dsolve(diff(y(x),x) = -(-ln(ln(y(x)))+ln(x))*y(x),y(x))
 
_by(x)1_a(xln(x)ln(ln(_a))x+ln(_a))d_ac1=0