2.379   ODE No. 379

\[ y'(x)^2-(x+1) y'(x)+y(x)=0 \]

✓ Mathematica : cpu = 0.0058428 (sec), leaf count = 18

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

\[\left \{\left \{y(x)\to c_1 x-c_1{}^2+c_1\right \}\right \}\]

✓ Maple : cpu = 0.022 (sec), leaf count = 22

dsolve(diff(y(x),x)^2-(1+x)*diff(y(x),x)+y(x) = 0,y(x))
 

\[y \left (x \right ) = \frac {\left (1+x \right )^{2}}{4}\]