14.27.2 problem 2

Internal problem ID [2790]
Book : Differential equations and their applications, 4th ed., M. Braun
Section : Chapter 4. Qualitative theory of differential equations. Section 4.1 (Introduction). Page 3770
Problem number : 2
Date solved : Monday, January 27, 2025 at 06:13:53 AM
CAS classification : system_of_ODEs

\begin{align*} x^{\prime }\left (t \right )&=-b x \left (t \right ) y+m\\ y^{\prime }&=b x \left (t \right ) y-g y \end{align*}

✗ Solution by Maple

dsolve([diff(x(t),t)=-b*x(t)*y(t)+m,diff(y(t),t)=b*x(t)*y(t)-g*y(t)],singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{D[x[t],t]==-b*x[t]*y[t]+m,D[y[t],t]==b*x[t]*y[t]-g*y[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
 

Not solved