76.23.4 problem 5

Internal problem ID [17795]
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 : 5
Date solved : Tuesday, January 28, 2025 at 11:03:11 AM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+8 y&=\cos \left (t \right ) \end{align*}

✗ Solution by Maple

dsolve(t*diff(y(t),t$3)+sin(t)*diff(y(t),t$2)+8*y(t)=cos(t),y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[t*D[y[t],{t,3}]+Sin[t]*D[y[t],{t,2}]+8*y[t]==Cos[t],y[t],t,IncludeSingularSolutions -> True]
 

Not solved