Internal problem ID [2588]
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 8.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+4 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x$2)+4*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (2 x \right ) c_{1} +c_{2} \cos \left (2 x \right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 20
DSolve[y''[x]+4*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 \cos (2 x)+c_2 \sin (2 x) \]