63.1.1 problem 1(a)

Internal problem ID [13025]
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)
Date solved : Tuesday, January 28, 2025 at 04:49:31 AM
CAS classification : [_separable]

\begin{align*} x^{\prime }&=\frac {2 x}{t} \end{align*}

✓ Solution by Maple

Time used: 0.000 (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: 0.020 (sec). Leaf size: 16

DSolve[D[x[t],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*}