ODE
\[ y'(x)^4+x y'(x)-3 y(x)=0 \] ODE Classification
[[_1st_order, _with_linear_symmetries], _dAlembert]
Book solution method
No Missing Variables ODE, Solve for \(x\)
Mathematica ✗
cpu = 600.016 (sec), leaf count = 0 , timed out
$Aborted
Maple ✓
cpu = 0.081 (sec), leaf count = 37
\[\left [\left [x \left (\textit {\_T} \right ) = \sqrt {\textit {\_T}}\, \left (\frac {4 \textit {\_T}^{\frac {5}{2}}}{5}+\textit {\_C1} \right ), y \left (\textit {\_T} \right ) = \frac {\textit {\_T}^{4}}{3}+\frac {\textit {\_T}^{\frac {3}{2}} \left (\frac {4 \textit {\_T}^{\frac {5}{2}}}{5}+\textit {\_C1} \right )}{3}\right ]\right ]\] Mathematica raw input
DSolve[-3*y[x] + x*y'[x] + y'[x]^4 == 0,y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(diff(y(x),x)^4+x*diff(y(x),x)-3*y(x) = 0, y(x))
Maple raw output
[[x(_T) = _T^(1/2)*(4/5*_T^(5/2)+_C1), y(_T) = 1/3*_T^4+1/3*_T^(3/2)*(4/5*_T^(5/2)+_C1)]]