76.23.6 problem 7

Internal problem ID [17797]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 6. Systems of First Order Linear Equations. Section 6.1 (Definitions and examples). Problems at page 388
Problem number : 7
Date solved : Tuesday, January 28, 2025 at 11:03:12 AM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime \prime }+t y^{\prime \prime }+t^{2} y^{\prime }+t^{2} y&=\ln \left (t \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(t),t$3)+t*diff(y(t),t$2)+t^2*diff(y(t),t)+t^2*y(t)=ln(t),y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[t],{t,3}]+t*D[y[t],{t,2}]+t^2*D[y[t],t]+t^2*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

Not solved