6.4 problem Problem 26

Internal problem ID [2219]

Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section: Chapter 8, Linear differential equations of order n. Section 8.1, General Theory for Linear Differential Equations. page 502
Problem number: Problem 26.
ODE order: 2.
ODE degree: 1.

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

Solve \begin {gather*} \boxed {y^{\prime \prime }+4 y^{\prime }=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 12

dsolve(diff(y(x),x$2)+4*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \relax (x ) = c_{1}+c_{2} {\mathrm e}^{-4 x} \]

Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 19

DSolve[y''[x]+4*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_2-\frac {1}{4} c_1 e^{-4 x} \\ \end{align*}