Internal problem ID [5192]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 2. Linear equations with constant coefficients. Page 52
Problem number: 1(b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {3 y^{\prime \prime }+2 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 23
dsolve(3*diff(y(x),x$2)+2*y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \sin \left (\frac {\sqrt {6}\, x}{3}\right )+c_{2} \cos \left (\frac {\sqrt {6}\, x}{3}\right ) \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 32
DSolve[3*y''[x]+2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \cos \left (\sqrt {\frac {2}{3}} x\right )+c_2 \sin \left (\sqrt {\frac {2}{3}} x\right ) \\ \end{align*}