Internal problem ID [10337]
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: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {2 x^{\prime } t -x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(2*t*diff(x(t),t)=x(t),x(t), singsol=all)
\[ x \left (t \right ) = c_{1} \sqrt {t} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 18
DSolve[2*t*x'[t]==x[t],x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 \sqrt {t} \\ x(t)\to 0 \\ \end{align*}