74.18.13 problem 19

Internal problem ID [16570]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number : 19
Date solved : Tuesday, January 28, 2025 at 09:11:04 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 20 y^{\prime \prime }+y^{\prime }-y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(20*diff(y(x),x$2)+diff(y(x),x)-y(x)=0,y(x), singsol=all)
 

\[ y = \left (c_{1} {\mathrm e}^{\frac {9 x}{20}}+c_{2} \right ) {\mathrm e}^{-\frac {x}{4}} \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 26

DSolve[20*D[y[x],{x,2}]+D[y[x],x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{x/5}+c_2 e^{-x/4} \]