Internal problem ID [14577]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.4, page 163
Problem number: 2.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }+16 y^{\prime }=t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t$2)+16*diff(y(t),t)=t,y(t), singsol=all)
\[ y \left (t \right ) = \frac {t^{2}}{32}-\frac {{\mathrm e}^{-16 t} c_{1}}{16}-\frac {t}{256}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.069 (sec). Leaf size: 31
DSolve[y''[t]+16*y'[t]==t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^2}{32}-\frac {t}{256}-\frac {1}{16} c_1 e^{-16 t}+c_2 \]