76.24.4 problem 4

Internal problem ID [17803]
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 6.2 (Basic Theory of First Order Linear Systems). Problems at page 398
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 11:03:14 AM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime \prime }+t y^{\prime \prime }+5 t^{2} y^{\prime }+2 t^{3} y&=\ln \left (t \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(t),t$3)+t*diff(y(t),t$2)+5*t^2*diff(y(t),t)+2*t^3*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}]+5*t^2*D[y[t],t]+2*t^3*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

Not solved