Internal problem ID [3000]
Book: Applied Differential equations, N Curle, 1971
Section: Examples, page 35
Problem number: 3.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_homogeneous, `class C`], _dAlembert]
\[ \boxed {y-{y^{\prime }}^{2} \left (1-\frac {2 y^{\prime }}{3}\right )=x} \]
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 35
dsolve(y(x)-x=(diff(y(x),x))^2*(1-2/3* diff(y(x),x)),y(x), singsol=all)
\begin{align*} y \left (x \right ) = x +\frac {1}{3} y \left (x \right ) = c_{1} -\frac {2 \left (c_{1} -x \right )^{\frac {3}{2}}}{3} y \left (x \right ) = c_{1} +\frac {2 \left (c_{1} -x \right )^{\frac {3}{2}}}{3} \end{align*}
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]-x==(y'[x])^2*(1-2/3* y'[x]),y[x],x,IncludeSingularSolutions -> True]
Timed out