Internal problem ID [14552]
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: 46.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+3 y^{\prime }=18} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve([diff(y(t),t$2)+3*diff(y(t),t)=18,y(0) = 0, D(y)(0) = 3],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{-3 t}+6 t -1 \]
✓ Solution by Mathematica
Time used: 0.02 (sec). Leaf size: 15
DSolve[{y''[t]+3*y'[t]==18,{y[0]==0,y'[0]==3}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 6 t+e^{-3 t}-1 \]