Internal problem ID [14087]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 50.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+9 y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2, y^{\prime }\left (0\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve([diff(y(x),x$2)+9*diff(y(x),x)=0,y(0) = 2, D(y)(0) = -1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {17}{9}+\frac {{\mathrm e}^{-9 x}}{9} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 16
DSolve[{y''[x]+9*y'[x]==0,{y[0]==2,y'[0]==-1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{9} \left (e^{-9 x}+17\right ) \]