Internal problem ID [5966]
Book: DIFFERENTIAL EQUATIONS with Boundary Value Problems. DENNIS G. ZILL,
WARREN S. WRIGHT, MICHAEL R. CULLEN. Brooks/Cole. Boston, MA. 2013. 8th
edition.
Section: CHAPTER 8 SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.
EXERCISES 8.1. Page 332
Problem number: 9.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\relax (t )&=x \relax (t )-y \relax (t )+2 z \relax (t )+{\mathrm e}^{-t}-3 t\\ y^{\prime }\relax (t )&=3 x \relax (t )-4 y \relax (t )+z \relax (t )+2 \,{\mathrm e}^{-t}+t\\ z^{\prime }\relax (t )&=-2 x \relax (t )+5 y \relax (t )+6 z \relax (t )+2 \,{\mathrm e}^{-t}-t \end {align*}
✗ Solution by Maple
dsolve([diff(x(t),t)=x(t)-y(t)+2*z(t)+exp(-t)-3*t,diff(y(t),t)=3*x(t)-4*y(t)+z(t)+2*exp(-t)+t,diff(z(t),t)=-2*x(t)+5*y(t)+6*z(t)+2*exp(-t)-t],[x(t), y(t), z(t)], singsol=all)
\[ \text {No solution found} \]
✓ Solution by Mathematica
Time used: 0.31 (sec). Leaf size: 3251
DSolve[{x'[t]==x[t]-y[t]+2*z[t]+Exp[-t]-3*t,y'[t]==3*x[t]-4*y[t]+z[t]+2*Exp[-t]+t,z'[t]==-2*x[t]+5*y[t]+6*z[t]+2*Exp[-t]-t},{x[t],y[t],z[t]},t,IncludeSingularSolutions -> True]
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