Internal problem ID [4276]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 35
Problem number: 1055.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_1st_order, _with_linear_symmetries]]
\[ \boxed {3 {y^{\prime }}^{3}-x^{4} y^{\prime }+2 y x^{3}=0} \]
✓ Solution by Maple
Time used: 0.172 (sec). Leaf size: 34
dsolve(3*diff(y(x),x)^3-x^4*diff(y(x),x)+2*x^3*y(x) = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = -\frac {x^{3}}{9} y \left (x \right ) = \frac {x^{3}}{9} y \left (x \right ) = \frac {x^{2}}{2 c_{1}}-\frac {3}{2 c_{1}^{3}} \end{align*}
✓ Solution by Mathematica
Time used: 87.281 (sec). Leaf size: 15992
DSolve[3 (y'[x])^3 - x^4 y'[x]+2 x^3 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
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