Internal problem ID [14920]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 6. Systems of Differential Equations. Exercises 6.1, page 282
Problem number: 3.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }&=0\\ y^{\prime }\left (t \right )&=-2 y \left (t \right ) \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve([diff(x(t),t)=0,diff(y(t),t)=-2*y(t)],singsol=all)
\begin{align*} x \left (t \right ) &= c_{2} \\ y \left (t \right ) &= c_{1} {\mathrm e}^{-2 t} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 28
DSolve[{x'[t]==0,y'[t]==-2*y[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 \\ y(t)\to c_2 e^{-2 t} \\ x(t)\to c_1 \\ y(t)\to 0 \\ \end{align*}