73.17.4 problem 4

Internal problem ID [15538]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 25. Review exercises for part III. page 447
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 08:01:32 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-36 y&=0 \end{align*}

Solution by Maple

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

dsolve(diff(y(x),x$2)-36*y(x)=0,y(x), singsol=all)
 
\[ y = {\mathrm e}^{6 x} c_{1} +c_{2} {\mathrm e}^{-6 x} \]

Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 22

DSolve[D[y[x],{x,2}]-36*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 
\[ y(x)\to c_1 e^{6 x}+c_2 e^{-6 x} \]