Internal problem ID [11666]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 8, Separable equations. Exercises page 72
Problem number: 8.1 (iv).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }+x^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(x(t),t)=-x(t)^2,x(t), singsol=all)
\[ x \left (t \right ) = \frac {1}{t +c_{1}} \]
✓ Solution by Mathematica
Time used: 0.169 (sec). Leaf size: 18
DSolve[x'[t]==-x[t]^2,x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to \frac {1}{t-c_1} x(t)\to 0 \end{align*}