8.9.3 problem 3

Internal problem ID [847]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 5.3, second order linear equations. Page 323
Problem number : 3
Date solved : Monday, January 27, 2025 at 03:09:57 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+3 y^{\prime }-10 y&=0 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x$2)+3*diff(y(x),x)-10*y(x)=0,y(x), singsol=all)
 

\[ y = \left ({\mathrm e}^{7 x} c_1 +c_2 \right ) {\mathrm e}^{-5 x} \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 22

DSolve[D[y[x],{x,2}]+3*D[y[x],x]-10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-5 x} \left (c_2 e^{7 x}+c_1\right ) \]