76.10.14 problem 14

Internal problem ID [17536]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 3. Systems of two first order equations. Section 3.6 (A brief introduction to nonlinear systems). Problems at page 195
Problem number : 14
Date solved : Tuesday, January 28, 2025 at 10:40:03 AM
CAS classification : system_of_ODEs

\begin{align*} \frac {d}{d t}x \left (t \right )&=2-y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right )-x \left (t \right )^{2} \end{align*}

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{D[x[t],t]==2-y[t],D[y[t],t]==y[t]-x[t]^2},{x[t],y[t]},t,IncludeSingularSolutions -> True]
 

Not solved