Internal problem ID [4294]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 36
Problem number: 1077.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_1st_order, _with_linear_symmetries]]
\[ \boxed {y^{2} {y^{\prime }}^{3}-x y^{\prime }+y=0} \]
✓ Solution by Maple
Time used: 0.11 (sec). Leaf size: 133
dsolve(y(x)^2*diff(y(x),x)^3-x*diff(y(x),x)+y(x) = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= 0 \\ y \left (x \right ) &= -\frac {2 \sqrt {-24 c_{1}^{3}+27 c_{1} x -3 \sqrt {\left (4 c_{1}^{2}-3 x \right )^{3}}}}{9} \\ y \left (x \right ) &= \frac {2 \sqrt {-24 c_{1}^{3}+27 c_{1} x -3 \sqrt {\left (4 c_{1}^{2}-3 x \right )^{3}}}}{9} \\ y \left (x \right ) &= -\frac {2 \sqrt {-24 c_{1}^{3}+27 c_{1} x +3 \sqrt {\left (4 c_{1}^{2}-3 x \right )^{3}}}}{9} \\ y \left (x \right ) &= \frac {2 \sqrt {-24 c_{1}^{3}+27 c_{1} x +3 \sqrt {\left (4 c_{1}^{2}-3 x \right )^{3}}}}{9} \\ \end{align*}
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]^2 (y'[x])^3- x y'[x] + y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out