7.10.3 problem 3

Internal problem ID [273]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 2. Linear Equations of Higher Order. Section 2.3 (Homogeneous equations with constant coefficients). Problems at page 134
Problem number : 3
Date solved : Monday, January 27, 2025 at 02:43:12 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+y^{\prime }-10 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 27

dsolve(diff(y(x),x$2)+diff(y(x),x)-10*y(x)=0,y(x), singsol=all)
 

\[ y = c_1 \,{\mathrm e}^{\frac {\left (-1+\sqrt {41}\right ) x}{2}}+c_2 \,{\mathrm e}^{-\frac {\left (1+\sqrt {41}\right ) x}{2}} \]

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 35

DSolve[D[y[x],{x,2}]+D[y[x],x]-10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-\frac {1}{2} \left (1+\sqrt {41}\right ) x} \left (c_2 e^{\sqrt {41} x}+c_1\right ) \]