Internal problem ID [6281]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 2. Second-Order Linear Equations. Section 2.1. Linear Equations with Constant
Coefficients. Page 62
Problem number: 1(m).
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),y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{2 x} c_{1} +c_{2} {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 22
DSolve[y''[x]==4*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-2 x} \left (c_1 e^{4 x}+c_2\right ) \]