Internal problem ID [11428]
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: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{\prime }-2 t x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(x(t),t)=2*t*x(t),x(t), singsol=all)
\[ x \left (t \right ) = c_{1} {\mathrm e}^{t^{2}} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 18
DSolve[x'[t]==2*t*x[t],x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 e^{t^2} x(t)\to 0 \end{align*}