Internal problem ID [12352]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {t^{2} y^{\prime \prime }-6 y^{\prime } t +\sin \left (2 t \right ) y=\ln \left (t \right )} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[t^2*y''[t]-6*t*y'[t]+Sin[2*t]*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
Not solved