Internal problem ID [11349]
Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag,
NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.1 First order equations. Exercises
page 10
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{\prime }-\frac {2 x}{t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(x(t),t)=2*x(t)/t,x(t), singsol=all)
\[ x \left (t \right ) = c_{1} t^{2} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 16
DSolve[x'[t]==2*x[t]/t,x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 t^2 \\ x(t)\to 0 \\ \end{align*}