2.407   ODE No. 407

\[ x y'(x)^2-y(x)=0 \]

✓ Mathematica : cpu = 0.0397949 (sec), leaf count = 51

DSolve[-y[x] + x*Derivative[1][y][x]^2 == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {1}{4} \left (4 x-4 c_1 \sqrt {x}+c_1{}^2\right )\right \},\left \{y(x)\to \frac {1}{4} \left (4 x+4 c_1 \sqrt {x}+c_1{}^2\right )\right \}\right \}\]

✓ Maple : cpu = 0.027 (sec), leaf count = 39

dsolve(x*diff(y(x),x)^2-y(x) = 0,y(x))
 

\[y \left (x \right ) = 0\]