ODE No. 427

\[ (3 x+5) y'(x)^2-(3 y(x)+x) y'(x)+y(x)=0 \]

✓ Mathematica : cpu = 0.0062074 (sec), leaf count = 24

DSolve[y[x] - (x + 3*y[x])*Derivative[1][y][x] + (5 + 3*x)*Derivative[1][y][x]^2 == 0,y[x],x]

\[\left \{\left \{y(x)\to c_1 x+\frac {5 c_1{}^2}{-1+3 c_1}\right \}\right \}\]

✓ Maple : cpu = 0.035 (sec), leaf count = 60

dsolve((3*x+5)*diff(y(x),x)^2-(3*y(x)+x)*diff(y(x),x)+y(x) = 0,y(x))

\[y \left (x \right ) = \frac {x}{3}+\frac {10}{9}-\frac {2 \sqrt {15 x +25}}{9}\]