Internal problem ID [12567]
Book: Nonlinear Ordinary Differential Equations by D.W.Jordna and P.Smith. 4th edition 1999.
Oxford Univ. Press. NY
Section: Chapter 2. Plane autonomous systems and linearization. Problems page 79
Problem number: 2.2 (vii).
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\left (t \right )&=0\\ y^{\prime }\left (t \right )&=x \left (t \right ) \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([diff(x(t),t)=0,diff(y(t),t)=x(t)],singsol=all)
\begin{align*} x \left (t \right ) &= c_{2} \\ y \left (t \right ) &= c_{2} t +c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 17
DSolve[{x'[t]==0,y'[t]==x[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 \\ y(t)\to c_1 t+c_2 \\ \end{align*}