Internal problem ID [649]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.3 Complex Roots of the Characteristic Equation ,
page 164
Problem number: 41.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
Solve \begin {gather*} \boxed {t^{2} y^{\prime \prime }+3 t y^{\prime }-3 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 13
dsolve(t^2*diff(y(t),t$2)+ 3*t*diff(y(t),t)-3*y(t) = 0,y(t), singsol=all)
\[ y \relax (t ) = \frac {c_{1}}{t^{3}}+c_{2} t \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 16
DSolve[t^2*y''[t]+3*t*y'[t]-3*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {c_1}{t^3}+c_2 t \\ \end{align*}