64.10.4 problem 4

Internal problem ID [13410]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 4, Section 4.2. The homogeneous linear equation with constant coefficients. Exercises page 135
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 05:41:57 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 3 y^{\prime \prime }-14 y^{\prime }-5 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(3*diff(y(x),x$2)-14*diff(y(x),x)-5*y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{5 x} c_{1} +c_{2} {\mathrm e}^{-\frac {x}{3}} \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 24

DSolve[3*D[y[x],{x,2}]-14*D[y[x],x]-5*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{-x/3}+c_2 e^{5 x} \]