82.48.3 problem Ex. 3

Internal problem ID [18984]
Book : Introductory Course On Differential Equations by Daniel A Murray. Longmans Green and Co. NY. 1924
Section : Chapter VIII. End of chapter problems at page 107
Problem number : Ex. 3
Date solved : Tuesday, January 28, 2025 at 12:43:49 PM
CAS classification : [[_3rd_order, _exact, _linear, _homogeneous]]

\begin{align*} \left (x^{3}+x +1\right ) y^{\prime \prime \prime }+\left (3+6 x \right ) y^{\prime \prime }+6 y&=0 \end{align*}

✗ Solution by Maple

dsolve((1+x+x^3)*diff(y(x),x$3)+(3+6*x)*diff(y(x),x$2)+6*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(1+x+x^3)*D[y[x],{x,3}]+(3+6*x)*D[y[x],{x,2}]+6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved