Internal problem ID [181]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 41.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {6 y^{\prime \prime }-7 y^{\prime }-20 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 17
dsolve(6*diff(y(x),x$2)-7*diff(y(x),x)-20*y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{\frac {5 x}{2}}+c_{2} {\mathrm e}^{-\frac {4 x}{3}} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 26
DSolve[6*y''[x]-7*y'[x]-20*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{-4 x/3}+c_2 e^{5 x/2} \\ \end{align*}