Internal problem ID [14509]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 37 (b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {t^{2} y^{\prime \prime }-y^{\prime } t +y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(t^2*diff(y(t),t$2)-t*diff(y(t),t)+y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = t \left (c_{2} \ln \left (t \right )+c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 15
DSolve[t^2*y''[t]-t*y'[t]+y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t (c_2 \log (t)+c_1) \]