72.2.4 problem 4

Internal problem ID [14639]
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 1.3 page 47
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 06:45:50 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=4 y^{2} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

dsolve(diff(y(t),t)=4*y(t)^2,y(t), singsol=all)
 

\[ y = \frac {1}{-4 t +c_{1}} \]

✓ Solution by Mathematica

Time used: 0.091 (sec). Leaf size: 20

DSolve[D[y[t],t]==4*y[t]^2,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -\frac {1}{4 t+c_1} \\ y(t)\to 0 \\ \end{align*}