Internal problem ID [11386]
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 1.3.1 Separable equations. Exercises
page 26
Problem number: 4(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{\prime }-\frac {2 x}{t +1}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(x(t),t)=2*x(t)/(t+1),x(t), singsol=all)
\[ x \left (t \right ) = c_{1} \left (t +1\right )^{2} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 18
DSolve[x'[t]==2*x[t]/(t+1),x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 (t+1)^2 x(t)\to 0 \end{align*}