Internal problem ID [14494]
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: 21.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-7 y^{\prime }+10 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1, y^{\prime }\left (0\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 8
dsolve([diff(y(t),t$2)-7*diff(y(t),t)+10*y(t)=0,y(0) = 1, D(y)(0) = 5],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{5 t} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 10
DSolve[{y''[t]-7*y'[t]+10*y[t]==0,{y[0]==1,y'[0]==5}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{5 t} \]