23.2.5 problem 4(e)

Internal problem ID [4122]
Book : Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section : Chapter 3. Linear differential equations of second order. Exercises at page 31
Problem number : 4(e)
Date solved : Monday, January 27, 2025 at 08:36:47 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

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

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

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 18

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

\[ y(x)\to e^x \left (c_2 e^x+c_1\right ) \]