74.18.10 problem 16

Internal problem ID [16567]
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 : 16
Date solved : Tuesday, January 28, 2025 at 09:10:59 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-10 y^{\prime }+34 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 22

dsolve(diff(y(x),x$2)-10*diff(y(x),x)+34*y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{5 x} \left (c_{1} \sin \left (3 x \right )+c_{2} \cos \left (3 x \right )\right ) \]

✓ Solution by Mathematica

Time used: 0.017 (sec). Leaf size: 26

DSolve[D[y[x],{x,2}]-10*D[y[x],x]+34*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{5 x} (c_2 \cos (3 x)+c_1 \sin (3 x)) \]