40.8.6 problem 21

Internal problem ID [6706]
Book : Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres. McGraw Hill 1952
Section : Chapter 13. Homogeneous Linear equations with constant coefficients. Supplemetary problems. Page 86
Problem number : 21
Date solved : Monday, January 27, 2025 at 02:24:31 PM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 17

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

\[ y = c_1 \sin \left (5 x \right )+c_2 \cos \left (5 x \right ) \]

✓ Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 20

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

\[ y(x)\to c_1 \cos (5 x)+c_2 \sin (5 x) \]