73.11.6 problem 17.1 (f)

Internal problem ID [15320]
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)
Date solved : Tuesday, January 28, 2025 at 07:52:27 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 3 y^{\prime \prime }+7 y^{\prime }-6 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(3*diff(y(x),x$2)+7*diff(y(x),x)-6*y(x)=0,y(x), singsol=all)
 

\[ y = \left (c_{2} {\mathrm e}^{\frac {11 x}{3}}+c_{1} \right ) {\mathrm e}^{-3 x} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 24

DSolve[3*D[y[x],{x,2}]+7*D[y[x],x]-6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{2 x/3}+c_2 e^{-3 x} \]