Internal problem ID [10333]
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: 3.
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: 0.038 (sec). Leaf size: 39
DSolve[x'[t]==-t/x[t],x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to -\sqrt {-t^2+2 c_1} \\ x(t)\to \sqrt {-t^2+2 c_1} \\ \end{align*}