ODE
\[ y'(x)^3-(y(x)+3) y'(x)+x=0 \] ODE Classification
[_dAlembert]
Book solution method
No Missing Variables ODE, Solve for \(x\)
Mathematica ✓
cpu = 128.863 (sec), leaf count = 1
\[\text {$\$$Aborted}\]
Maple ✓
cpu = 0.564 (sec), leaf count = 236
\[\left [y \left (x \right ) = \frac {x}{\RootOf \left (4 \textit {\_Z}^{8}+\left (-4 x +16\right ) \textit {\_Z}^{6}+\left (x^{2}-\textit {\_C1} -12 x +20\right ) \textit {\_Z}^{4}+\left (2 x^{2}-2 \textit {\_C1} -8 x +8\right ) \textit {\_Z}^{2}-\textit {\_C1} \right )^{2}+1}+\frac {\left (\RootOf \left (4 \textit {\_Z}^{8}+\left (-4 x +16\right ) \textit {\_Z}^{6}+\left (x^{2}-\textit {\_C1} -12 x +20\right ) \textit {\_Z}^{4}+\left (2 x^{2}-2 \textit {\_C1} -8 x +8\right ) \textit {\_Z}^{2}-\textit {\_C1} \right )^{2}+1\right )^{3}-3 \RootOf \left (4 \textit {\_Z}^{8}+\left (-4 x +16\right ) \textit {\_Z}^{6}+\left (x^{2}-\textit {\_C1} -12 x +20\right ) \textit {\_Z}^{4}+\left (2 x^{2}-2 \textit {\_C1} -8 x +8\right ) \textit {\_Z}^{2}-\textit {\_C1} \right )^{2}-3}{\RootOf \left (4 \textit {\_Z}^{8}+\left (-4 x +16\right ) \textit {\_Z}^{6}+\left (x^{2}-\textit {\_C1} -12 x +20\right ) \textit {\_Z}^{4}+\left (2 x^{2}-2 \textit {\_C1} -8 x +8\right ) \textit {\_Z}^{2}-\textit {\_C1} \right )^{2}+1}\right ]\] Mathematica raw input
DSolve[x - (3 + y[x])*y'[x] + y'[x]^3 == 0,y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(diff(y(x),x)^3-(3+y(x))*diff(y(x),x)+x = 0, y(x))
Maple raw output
[y(x) = 1/(RootOf(4*_Z^8+(-4*x+16)*_Z^6+(x^2-_C1-12*x+20)*_Z^4+(2*x^2-2*_C1-8*x+8)*_Z^2-_C1)^2+1)*x+((RootOf(4*_Z^8+(-4*x+16)*_Z^6+(x^2-_C1-12*x+20)*_Z^4+(2*x^2-2*_C1-8*x+8)*_Z^2-_C1)^2+1)^3-3*RootOf(4*_Z^8+(-4*x+16)*_Z^6+(x^2-_C1-12*x+20)*_Z^4+(2*x^2-2*_C1-8*x+8)*_Z^2-_C1)^2-3)/(RootOf(4*_Z^8+(-4*x+16)*_Z^6+(x^2-_C1-12*x+20)*_Z^4+(2*x^2-2*_C1-8*x+8)*_Z^2-_C1)^2+1)]