74.18.11 problem 17

Internal problem ID [16568]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number : 17
Date solved : Tuesday, January 28, 2025 at 09:11:01 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 2 y^{\prime \prime }-5 y^{\prime }+2 y&=0 \end{align*}

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 24

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

\[ y(x)\to c_1 e^{x/2}+c_2 e^{2 x} \]