Internal problem ID [14099]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 76.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {16 y^{\prime \prime }+24 y^{\prime }+153 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(16*diff(y(x),x$2)+24*diff(y(x),x)+153*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{-\frac {3 x}{4}} \left (c_{1} \sin \left (3 x \right )+c_{2} \cos \left (3 x \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 28
DSolve[16*y''[x]+24*y'[x]+153*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-3 x/4} (c_2 \cos (3 x)+c_1 \sin (3 x)) \]