ODE No. 172

\[ x^4 \left (-y(x)^2\right )+x^3 y'(x)+x^2 y(x)+20=0 \]

✓ Mathematica : cpu = 0.0665638 (sec), leaf count = 35

DSolve[20 + x^2*y[x] - x^4*y[x]^2 + x^3*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to -\frac {5 x^4-\frac {4 c_1}{x^5}}{x \left (x^5+\frac {c_1}{x^4}\right )}\right \}\right \}\]

✓ Maple : cpu = 0.45 (sec), leaf count = 26

dsolve(x^3*diff(y(x),x)-x^4*y(x)^2+x^2*y(x)+20 = 0,y(x))

\[y \left (x \right ) = \frac {5 x^{9}+4 c_{1}}{\left (-x^{9}+c_{1} \right ) x^{2}}\]