Internal problem ID [12354]
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(d).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {y^{\prime \prime }+y^{\prime } t -y \ln \left (t \right )=\cos \left (2 t \right )} \]
✗ Solution by Maple
dsolve(diff(y(t),t$2)+t*diff(y(t),t)-y(t)*ln(t)=cos(2*t),y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y''[t]+t*y'[t]-y[t]*Log[t]==Cos[2*t],y[t],t,IncludeSingularSolutions -> True]
Not solved