Internal problem ID [5363]
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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+25 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x$2)+25*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} \sin \left (5 x \right )+c_{2} \cos \left (5 x \right ) \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 20
DSolve[y''[x]+25*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 \cos (5 x)+c_2 \sin (5 x) \]