Internal problem ID [4278]
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]
\[ \boxed {8 {y^{\prime }}^{3}+12 {y^{\prime }}^{2}-27 y=27 x} \]
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 43
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 \left (x \right ) &= -x +\frac {4}{27} \\ y \left (x \right ) &= \left (c_{1} -x \right ) \sqrt {x -c_{1}}-c_{1} \\ y \left (x \right ) &= \left (x -c_{1} \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