32.7.4 problem Exercise 20.5, page 220

Internal problem ID [5919]
Book : Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section : Chapter 4. Higher order linear differential equations. Lesson 20. Constant coefficients
Problem number : Exercise 20.5, page 220
Date solved : Monday, January 27, 2025 at 01:27:31 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 6 y^{\prime \prime }-11 y^{\prime }+4 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 17

dsolve(6*diff(y(x),x$2)-11*diff(y(x),x)+4*y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} {\mathrm e}^{\frac {4 x}{3}}+c_{2} {\mathrm e}^{\frac {x}{2}} \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 35

DSolve[D[y[x],{x,2}]-11*D[y[x],x]+4*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-\frac {1}{2} \left (\sqrt {105}-11\right ) x} \left (c_2 e^{\sqrt {105} x}+c_1\right ) \]