Internal problem ID [11444]
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 1.4.1. Integrating factors. Exercises
page 41
Problem number: 16-b(v).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{2}-t^{2} x^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(x(t)^2-t^2*diff(x(t),t)=0,x(t), singsol=all)
\[ x \left (t \right ) = \frac {t}{c_{1} t +1} \]
✓ Solution by Mathematica
Time used: 0.192 (sec). Leaf size: 21
DSolve[x[t]^2-t^2*x'[t]==0,x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to \frac {t}{1-c_1 t} x(t)\to 0 \end{align*}