Internal problem ID [13062]
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 3.1. page 258
Problem number: 2.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\left (t \right )&=2 x \left (t \right )-y\\ y^{\prime }&=0 \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 19
dsolve([diff(x(t),t)=2*x(t)-y(t),diff(y(t),t)=0],singsol=all)
\begin{align*} x \left (t \right ) &= \frac {c_{2}}{2}+c_{1} {\mathrm e}^{2 t} \\ y \left (t \right ) &= c_{2} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 32
DSolve[{x'[t]==2*x[t]-y[t],y'[t]==0},{x[t],y[t]},t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to \left (c_1-\frac {c_2}{2}\right ) e^{2 t}+\frac {c_2}{2} \\ y(t)\to c_2 \\ \end{align*}