2.118   ODE No. 118

\[ x y'(x)-y(x) \log (y(x))=0 \]

✓ Mathematica : cpu = 0.0814052 (sec), leaf count = 13

DSolve[-(Log[y[x]]*y[x]) + x*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to e^{e^{c_1} x}\right \}\right \}\]

✓ Maple : cpu = 0.105 (sec), leaf count = 8

dsolve(x*diff(y(x),x)-y(x)*ln(y(x)) = 0,y(x))
 

\[y \left (x \right ) = {\mathrm e}^{x c_{1}}\]