Internal problem ID [12626]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.5 page 71
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(t),t)=-y(t)^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{t +c_{1}} \]
✓ Solution by Mathematica
Time used: 0.156 (sec). Leaf size: 18
DSolve[y'[t]==-y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {1}{t-c_1} y(t)\to 0 \end{align*}