Internal problem ID [3768]
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]]
Solve \begin {gather*} \boxed {3 \left (y^{\prime }\right )^{3}-x^{4} y^{\prime }+2 y x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.15 (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 \relax (x ) = -\frac {x^{3}}{9} \\ y \relax (x ) = \frac {x^{3}}{9} \\ y \relax (x ) = \frac {x^{2}}{2 c_{1}}-\frac {3}{2 c_{1}^{3}} \\ \end{align*}
✓ Solution by Mathematica
Time used: 133.243 (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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