Internal problem ID [3770]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 35
Problem number: 1057.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_homogeneous, class C], _dAlembert]
Solve \begin {gather*} \boxed {8 \left (y^{\prime }\right )^{3}+12 \left (y^{\prime }\right )^{2}-27 x -27 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.218 (sec). Leaf size: 39
dsolve(8*diff(y(x),x)^3+12*diff(y(x),x)^2 = 27*x+27*y(x),y(x), singsol=all)
\begin{align*} y \relax (x ) = -x +\frac {4}{27} \\ y \relax (x ) = -\left (-c_{1}+x \right )^{\frac {3}{2}}-c_{1} \\ y \relax (x ) = \left (-c_{1}+x \right )^{\frac {3}{2}}-c_{1} \\ \end{align*}
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[8 (y'[x])^3 + 12 (y'[x])^2 ==27(x+y[x]),y[x],x,IncludeSingularSolutions -> True]
Timed out