20.1.1 problem Problem 7

Internal problem ID [3558]
Book : Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section : Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page 21
Problem number : Problem 7
Date solved : Monday, January 27, 2025 at 07:43:55 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-25 y&=0 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x$2)-25*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = {\mathrm e}^{5 x} c_{1} +c_{2} {\mathrm e}^{-5 x} \]

✓ Solution by Mathematica

Time used: 0.020 (sec). Leaf size: 22

DSolve[D[y[x],{x,2}]-25*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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