82.24.2 problem Ex. 2

Internal problem ID [18868]
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. 2
Date solved : Tuesday, January 28, 2025 at 12:33:04 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-m^{2} y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 18

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

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

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 23

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

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