Internal problem ID [14490]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 17.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {3 y^{\prime \prime }-y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = 7] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve([3*diff(y(t),t$2)-diff(y(t),t)=0,y(0) = 0, D(y)(0) = 7],y(t), singsol=all)
\[ y \left (t \right ) = -21+21 \,{\mathrm e}^{\frac {t}{3}} \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 16
DSolve[{3*y''[t]-y'[t]==0,{y[0]==0,y'[0]==7}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 21 \left (e^{t/3}-1\right ) \]