Internal problem ID [10948]
Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin.
CRC Press 2015
Section: Chapter 5.5 Laplace transform. Homogeneous equations. Problems page 357
Problem number: Problem 15.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-20 y^{\prime }+51 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = -14] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([diff(y(t),t$2)-20*diff(y(t),t)+51*y(t)=0,y(0) = 0, D(y)(0) = -14],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{3 t}-{\mathrm e}^{17 t} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 18
DSolve[{y''[t]-20*y'[t]+51*+y[t]==0,{y[0]==0,y'[0]==-14}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to e^{3 t}-e^{17 t} \\ \end{align*}