ODE
\[ y'(x)^4+4 y(x) y'(x)^3+6 y(x)^2 y'(x)^2-\left (1-4 y(x)^3\right ) y'(x)-y(x) \left (3-y(x)^3\right )=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Independent variable missing, Use new variable
Mathematica ✗
cpu = 599.998 (sec), leaf count = 0 , timed out
$Aborted
Maple ✓
cpu = 4.012 (sec), leaf count = 204
\[ \left \{ x+{\frac {\ln \left ( \left ( -14640\, \left ( y \left ( x \right ) \right ) ^{6}-93435\, \left ( y \left ( x \right ) \right ) ^{3}-256 \right ) \left ( {\it RootOf} \left ( {{\it \_Z}}^{4}+4\,y \left ( x \right ) {{\it \_Z}}^{3}+6\, \left ( y \left ( x \right ) \right ) ^{2}{{\it \_Z}}^{2}+ \left ( 4\, \left ( y \left ( x \right ) \right ) ^{3}-1 \right ) {\it \_Z}+ \left ( y \left ( x \right ) \right ) ^{4}-3\,y \left ( x \right ) \right ) \right ) ^{3}+ \left ( -39648\, \left ( y \left ( x \right ) \right ) ^{7}-177915\, \left ( y \left ( x \right ) \right ) ^{4}+2048\,y \left ( x \right ) \right ) \left ( {\it RootOf} \left ( {{\it \_Z}}^{4}+4\,y \left ( x \right ) {{\it \_Z}}^{3}+6\, \left ( y \left ( x \right ) \right ) ^{2}{{\it \_Z}}^{2}+ \left ( 4\, \left ( y \left ( x \right ) \right ) ^{3}-1 \right ) {\it \_Z}+ \left ( y \left ( x \right ) \right ) ^{4}-3\,y \left ( x \right ) \right ) \right ) ^{2}+ \left ( -36144\, \left ( y \left ( x \right ) \right ) ^{8}-162033\, \left ( y \left ( x \right ) \right ) ^{5}-9216\, \left ( y \left ( x \right ) \right ) ^{2} \right ) {\it RootOf} \left ( {{\it \_Z}}^{4}+4\,y \left ( x \right ) {{\it \_Z}}^{3}+6\, \left ( y \left ( x \right ) \right ) ^{2}{{\it \_Z}}^{2}+ \left ( 4\, \left ( y \left ( x \right ) \right ) ^{3}-1 \right ) {\it \_Z}+ \left ( y \left ( x \right ) \right ) ^{4}-3\,y \left ( x \right ) \right ) -11072\, \left ( y \left ( x \right ) \right ) ^{9}-8169\, \left ( y \left ( x \right ) \right ) ^{6}+124155\, \left ( y \left ( x \right ) \right ) ^{3} \right ) }{9}}-{\it \_C1}=0 \right \} \] Mathematica raw input
DSolve[-(y[x]*(3 - y[x]^3)) - (1 - 4*y[x]^3)*y'[x] + 6*y[x]^2*y'[x]^2 + 4*y[x]*y'[x]^3 + y'[x]^4 == 0,y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(diff(y(x),x)^4+4*y(x)*diff(y(x),x)^3+6*y(x)^2*diff(y(x),x)^2-(1-4*y(x)^3)*diff(y(x),x)-(3-y(x)^3)*y(x) = 0, y(x),'implicit')
Maple raw output
x+1/9*ln((-14640*y(x)^6-93435*y(x)^3-256)*RootOf(_Z^4+4*y(x)*_Z^3+6*y(x)^2*_Z^2+(4*y(x)^3-1)*_Z+y(x)^4-3*y(x))^3+(-39648*y(x)^7-177915*y(x)^4+2048*y(x))*RootOf(_Z^4+4*y(x)*_Z^3+6*y(x)^2*_Z^2+(4*y(x)^3-1)*_Z+y(x)^4-3*y(x))^2+(-36144*y(x)^8-162033*y(x)^5-9216*y(x)^2)*RootOf(_Z^4+4*y(x)*_Z^3+6*y(x)^2*_Z^2+(4*y(x)^3-1)*_Z+y(x)^4-3*y(x))-11072*y(x)^9-8169*y(x)^6+124155*y(x)^3)-_C1 = 0