Internal problem ID [13584]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 17. Second order Homogeneous equations with constant coefficients. Additional
exercises page 334
Problem number: 17.1 (f).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {3 y^{\prime \prime }+7 y^{\prime }-6 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(3*diff(y(x),x$2)+7*diff(y(x),x)-6*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{2} {\mathrm e}^{\frac {11 x}{3}}+c_{1} \right ) {\mathrm e}^{-3 x} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 24
DSolve[3*y''[x]+7*y'[x]-6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{2 x/3}+c_2 e^{-3 x} \]