67.2.60 problem Problem 20(g)

Internal problem ID [14017]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 20(g)
Date solved : Tuesday, January 28, 2025 at 06:12:51 AM
CAS classification : [[_2nd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x}+\frac {y}{x^{3}}&=\frac {{\mathrm e}^{-\frac {1}{x}}}{x^{3}} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+(x-1)/x*diff(y(x),x)+y(x)/x^3=1/x^3*exp(-1/x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved