Internal problem ID [13123]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 3. Linear Systems. Exercises section 3.5 page 327
Problem number: 21(a).
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\left (t \right )&=2 y\\ y^{\prime }&=0 \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([diff(x(t),t)=2*y(t),diff(y(t),t)=0],singsol=all)
\begin{align*} x \left (t \right ) &= 2 c_{2} t +c_{1} \\ y \left (t \right ) &= c_{2} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.008 (sec). Leaf size: 18
DSolve[{x'[t]==2*y[t],y'[t]==0*x[t]+0*y[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to 2 c_2 t+c_1 \\ y(t)\to c_2 \\ \end{align*}