Internal problem ID [1726]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 2.2, linear equations with constant coefficients. Page 138
Problem number: 11.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {t^{2} y^{\prime \prime }+5 t y^{\prime }-5 y=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve(t^2*diff(y(t),t$2)+5*t*diff(y(t),t)-5*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{2} t^{6}+c_{1}}{t^{5}} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 16
DSolve[t^2*y''[t]+5*t*y'[t]-5*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {c_1}{t^5}+c_2 t \]