63.1.7 problem 7

Internal problem ID [13031]
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
Date solved : Tuesday, January 28, 2025 at 04:49:44 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.002 (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: 0.022 (sec). Leaf size: 18

DSolve[2*t*D[x[t],t]==x[t],x[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} x(t)\to c_1 \sqrt {t} \\ x(t)\to 0 \\ \end{align*}