Internal problem ID [12018]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 12, Homogeneous second order linear equations. Exercises page 118
Problem number: 12.1 (v).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-4 y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 13, y^{\prime }\left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 5
dsolve([diff(y(t),t$2)-4*diff(y(t),t)=0,y(0) = 13, D(y)(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = 13 \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 6
DSolve[{y''[t]-4*y'[t]==0,{y[0]==13,y'[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 13 \]