Internal problem ID [5064]
Book: Ordinary differential equations and calculus of variations. Makarets and Reshetnyak. Wold
Scientific. Singapore. 1995
Section: Chapter 2. Linear homogeneous equations. Section 2.2 problems. page 95
Problem number: 56.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime \prime }-2 x y^{\prime \prime }+4 y^{\prime } x^{2}+8 y x^{3}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x$3)-2*x*diff(y(x),x$2)+4*x^2*diff(y(x),x)+8*x^3*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'''[x]-2*x*y''[x]+4*x^2*y'[x]+8*x^3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved