1.7 problem Problem 13

Internal problem ID [2084]

Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section: Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page 21
Problem number: Problem 13.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

Solve \begin {gather*} \boxed {y^{\prime \prime }-9 y=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 17

dsolve(diff(y(x),x$2)-9*y(x)=0,y(x), singsol=all)
 

\[ y \relax (x ) = c_{1} {\mathrm e}^{3 x}+c_{2} {\mathrm e}^{-3 x} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 22

DSolve[y''[x]-9*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to e^{-3 x} \left (c_1 e^{6 x}+c_2\right ) \\ \end{align*}