73.11.29 problem 17.5 (e)

Internal problem ID [15343]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 17. Second order Homogeneous equations with constant coefficients. Additional exercises page 334
Problem number : 17.5 (e)
Date solved : Tuesday, January 28, 2025 at 07:53:13 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 9 y^{\prime \prime }+18 y^{\prime }+10 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 22

dsolve(9*diff(y(x),x$2)+18*diff(y(x),x)+10*y(x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.018 (sec). Leaf size: 30

DSolve[9*D[y[x],{x,2}]+18*D[y[x],x]+10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-x} \left (c_2 \cos \left (\frac {x}{3}\right )+c_1 \sin \left (\frac {x}{3}\right )\right ) \]