60.4.41 problem 1489

Internal problem ID [11492]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1489
Date solved : Monday, January 27, 2025 at 11:22:39 PM
CAS classification : [[_3rd_order, _with_linear_symmetries]]

\begin{align*} x^{2} y^{\prime \prime \prime }+\left (1+x \right ) y^{\prime \prime }-y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^2*diff(diff(diff(y(x),x),x),x)+(x+1)*diff(diff(y(x),x),x)-y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[-y[x] + (1 + x)*D[y[x],{x,2}] + x^2*Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved