Internal problem ID [14457]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number: 23.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _exact, _linear, _homogeneous]]
\[ \boxed {t^{2} y^{\prime \prime }+y^{\prime } t -y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(t^2*diff(y(t),t$2)+t*diff(y(t),t)-y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{2} t^{2}+c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 16
DSolve[t^2*y''[t]+t*y'[t]-y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {c_1}{t}+c_2 t \]