Internal problem ID [14532]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.3, page 156
Problem number: 26.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {5 y^{\prime \prime }+y^{\prime }-4 y=-3} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 25
dsolve(5*diff(y(t),t$2)+diff(y(t),t)-4*y(t)=-3,y(t), singsol=all)
\[ y \left (t \right ) = \frac {\left (4 \,{\mathrm e}^{\frac {9 t}{5}} c_{1} +3 \,{\mathrm e}^{t}+4 c_{2} \right ) {\mathrm e}^{-t}}{4} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 27
DSolve[5*y''[t]+y'[t]-4*y[t]==-3,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{4 t/5}+c_2 e^{-t}+\frac {3}{4} \]