Internal problem ID [14042]
Internal file name [OUTPUT/13214_Friday_February_23_2024_06_58_55_AM_18910549/index.tex]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 39. Critical points, Direction fields and trajectories. Additional Exercises. page
815
Problem number: 39.1 (d).
ODE order: 1.
ODE degree: 1.
The type(s) of ODE detected by this program : "system of linear ODEs" Unable to solve or complete the solution.
Solve \begin {align*} x^{\prime }\left (t \right )&=x \left (t \right ) y \left (t \right )-6 y \left (t \right )\\ y^{\prime }\left (t \right )&=x \left (t \right )-y \left (t \right )-5 \end {align*}
Does not currently support non linear system of equations. This is the phase plot of the system.
✗ Solution by Maple
dsolve([diff(x(t),t)=x(t)*y(t)-6*y(t),diff(y(t),t)=x(t)-y(t)-5],singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x'[t]==x[t]*y[t]-6*y[t],y'[t]==x[t]-y[t]-5},{x[t],y[t]},t,IncludeSingularSolutions -> True]
Not solved