Internal problem ID [6716]
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: 6.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\left (t \right )&=-3 x \left (t \right )+4 y \left (t \right )+2 \,{\mathrm e}^{-t} \sin \left (t \right ) \cos \left (t \right )\\ y^{\prime }\left (t \right )&=5 x \left (t \right )+9 z \left (t \right )+8 \,{\mathrm e}^{-t} \cos \left (t \right )^{2}-4 \,{\mathrm e}^{-t}\\ z^{\prime }\left (t \right )&=y \left (t \right )+6 z \left (t \right )-{\mathrm e}^{-t} \end {align*}
✗ Solution by Maple
dsolve([diff(x(t),t)=-3*x(t)+4*y(t)+exp(-t)*sin(2*t),diff(y(t),t)=5*x(t)+9*z(t)+4*exp(-t)*cos(2*t),diff(z(t),t)=y(t)+6*z(t)-exp(-t)],singsol=all)
\[ \text {No solution found} \]
✓ Solution by Mathematica
Time used: 0.649 (sec). Leaf size: 2949
DSolve[{x'[t]==-3*x[t]+4*y[t]+Exp[-t]*Sin[2*t],y'[t]==5*x[t]+9*z[t]+4*Exp[-t]*Cos[2*t],z'[t]==y[t]+6*z[t]-Exp[-t]},{x[t],y[t],z[t]},t,IncludeSingularSolutions -> True]
Too large to display