ODE No. 378

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

✓ Mathematica : cpu = 0.0064334 (sec), leaf count = 18

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

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

✓ Maple : cpu = 0.026 (sec), leaf count = 20

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

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