ODE No. 544

\[ x^7 y(x)^2 y'(x)^3-\left (3 x^6 y(x)^3-1\right ) y'(x)^2+3 x^5 y(x)^4 y'(x)-x^4 y(x)^5=0 \]

✓ Mathematica : cpu = 0.0539088 (sec), leaf count = 22

DSolve[-(x^4*y[x]^5) + 3*x^5*y[x]^4*Derivative[1][y][x] - (-1 + 3*x^6*y[x]^3)*Derivative[1][y][x]^2 + x^7*y[x]^2*Derivative[1][y][x]^3 == 0,y[x],x]

\[\left \{\left \{y(x)\to \sqrt [3]{c_1 x^3+c_1{}^{2/3}}\right \}\right \}\]

✓ Maple : cpu = 3.256 (sec), leaf count = 4200

dsolve(x^7*y(x)^2*diff(y(x),x)^3-(3*x^6*y(x)^3-1)*diff(y(x),x)^2+3*x^5*y(x)^4*diff(y(x),x)-x^4*y(x)^5=0,y(x))

\[y \left (x \right ) = \frac {2^{{2}/{3}}}{3 x^{2}}\]