ODE No. 485

\[ -y'(x) \left (a y(x)^2+b x^2+c\right )+a x y(x) y'(x)^2+b x y(x)=0 \]

✓ Mathematica : cpu = 0.0428222 (sec), leaf count = 29

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

\[\left \{\left \{y(x)\to \sqrt {\frac {c c_1}{b-a c_1}+c_1 x^2}\right \}\right \}\]

✗ Maple : cpu = 0. (sec), leaf count = 0

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

, exception

time expired