2.60 problem Problem 20(g)

Internal problem ID [12281]

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).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]

\[ \boxed {y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x}+\frac {y}{x^{3}}=\frac {{\mathrm e}^{-\frac {1}{x}}}{x^{3}}} \]

✗ 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: 0.0 (sec). Leaf size: 0

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

Not solved