74.1.55 problem 76

Internal problem ID [15835]
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
Date solved : Tuesday, January 28, 2025 at 08:08:37 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 16 y^{\prime \prime }+24 y^{\prime }+153 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 22

dsolve(16*diff(y(x),x$2)+24*diff(y(x),x)+153*y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{-\frac {3 x}{4}} \left (c_{1} \sin \left (3 x \right )+c_{2} \cos \left (3 x \right )\right ) \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 28

DSolve[16*D[y[x],{x,2}]+24*D[y[x],x]+153*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-3 x/4} (c_2 \cos (3 x)+c_1 \sin (3 x)) \]