Internal problem ID [13287]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {9 y^{\prime \prime }+18 y^{\prime }+10 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(9*diff(y(x),x$2)+18*diff(y(x),x)+10*y(x)=0,y(x), singsol=all)
\[ y = c_{1} {\mathrm e}^{-x} \sin \left (\frac {x}{3}\right )+c_{2} {\mathrm e}^{-x} \cos \left (\frac {x}{3}\right ) \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 30
DSolve[9*y''[x]+18*y'[x]+10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-x} \left (c_2 \cos \left (\frac {x}{3}\right )+c_1 \sin \left (\frac {x}{3}\right )\right ) \]