73.15.24 problem 22.9 (b)

Internal problem ID [15455]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 22. Method of undetermined coefficients. Additional exercises page 412
Problem number : 22.9 (b)
Date solved : Tuesday, January 28, 2025 at 07:56:29 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+4 y^{\prime }&=20 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

dsolve(diff(y(x),x$2)+4*diff(y(x),x)=20,y(x), singsol=all)
 

\[ y = -\frac {c_{1} {\mathrm e}^{-4 x}}{4}+5 x +c_{2} \]

✓ Solution by Mathematica

Time used: 0.017 (sec). Leaf size: 22

DSolve[D[y[x],{x,2}]+4*D[y[x],x]==20,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 5 x-\frac {1}{4} c_1 e^{-4 x}+c_2 \]