67.5.2 problem Problem 1(b)

Internal problem ID [14088]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 6. Introduction to Systems of ODEs. Problems page 408
Problem number : Problem 1(b)
Date solved : Tuesday, January 28, 2025 at 06:14:09 AM
CAS classification : [[_2nd_order, _linear, _nonhomogeneous]]

\begin{align*} t^{2} y^{\prime \prime }-6 y^{\prime } t +\sin \left (2 t \right ) y&=\ln \left (t \right ) \end{align*}

✗ Solution by Maple

dsolve(t^2*diff(y(t),t$2)-6*t*diff(y(t),t)+sin(2*t)*y(t)=ln(t),y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[t^2*D[y[t],{t,2}]-6*t*D[y[t],t]+Sin[2*t]*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

Not solved