Internal problem ID [12806]
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 3.6 page 342
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-6 y^{\prime }-7 y=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 17
dsolve(diff(y(t),t$2)-6*diff(y(t),t)-7*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{7 t}+c_{2} {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 22
DSolve[y''[t]-6*y'[t]-7*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t} \left (c_2 e^{8 t}+c_1\right ) \]