10.7.1 problem 1

Internal problem ID [1249]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Chapter 3, Second order linear equations, 3.1 Homogeneous Equations with Constant Coefficients, page 144
Problem number : 1
Date solved : Monday, January 27, 2025 at 04:47:49 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+2 y^{\prime }-3 y&=0 \end{align*}

✓ Solution by Maple

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

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

\[ y = \left ({\mathrm e}^{4 x} c_1 +c_2 \right ) {\mathrm e}^{-3 x} \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 20

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

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