Internal problem ID [601]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.1 Homogeneous Equations with Constant
Coefficients, page 144
Problem number: 3.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {6 y^{\prime \prime }-y^{\prime }-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.004 (sec). Leaf size: 17
dsolve(6*diff(y(x),x$2) -diff(y(x),x)-y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{\frac {x}{2}}+c_{2} {\mathrm e}^{-\frac {x}{3}} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 26
DSolve[6*y''[x]-y'[x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{-x/3} \left (c_2 e^{5 x/6}+c_1\right ) \\ \end{align*}