Internal problem ID [14834]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 13.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {6 y^{\prime \prime }+5 y^{\prime }-4 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(6*diff(y(x),x$2)+5*diff(y(x),x)-4*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{1} {\mathrm e}^{\frac {11 x}{6}}+c_{2} \right ) {\mathrm e}^{-\frac {4 x}{3}} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 26
DSolve[6*y''[x]+5*y'[x]-4*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{-4 x/3}+c_2 e^{x/2} \]