73.9.34 problem 14.5 (d)

Internal problem ID [15295]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 14. Higher order equations and the reduction of order method. Additional exercises page 277
Problem number : 14.5 (d)
Date solved : Tuesday, January 28, 2025 at 07:51:41 AM
CAS classification : [[_3rd_order, _with_linear_symmetries]]

\begin{align*} x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^3*diff(y(x),x$3)-4*diff(y(x),x$2)+10*diff(y(x),x)-12*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^3*D[y[x],{x,3}]-4*D[y[x],{x,2}]+10*D[y[x],x]-12*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved