82.24.4 problem Ex. 4

Internal problem ID [18870]
Book : Introductory Course On Differential Equations by Daniel A Murray. Longmans Green and Co. NY. 1924
Section : Chapter VI. Linear equations with constant coefficients. problems at page 65
Problem number : Ex. 4
Date solved : Tuesday, January 28, 2025 at 12:33:08 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 9 y^{\prime \prime }+18 y^{\prime }-16 y&=0 \end{align*}

✓ Solution by Maple

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

dsolve(9*diff(y(x),x$2)+18*diff(y(x),x)-16*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \left (c_{1} {\mathrm e}^{\frac {10 x}{3}}+c_{2} \right ) {\mathrm e}^{-\frac {8 x}{3}} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 26

DSolve[9*D[y[x],{x,2}]+18*D[y[x],x]-16*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{-8 x/3}+c_2 e^{2 x/3} \]