72.4.5 problem 12

Internal problem ID [14682]
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
Date solved : Tuesday, January 28, 2025 at 07:11:12 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=-y^{2} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

dsolve(diff(y(t),t)=-y(t)^2,y(t), singsol=all)
 

\[ y = \frac {1}{t +c_{1}} \]

✓ Solution by Mathematica

Time used: 0.087 (sec). Leaf size: 18

DSolve[D[y[t],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*}