39.4.5 problem Problem 12.13

Internal problem ID [6539]
Book : Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill 2014
Section : Chapter 12. VARIATION OF PARAMETERS. Supplementary Problems. page 109
Problem number : Problem 12.13
Date solved : Monday, January 27, 2025 at 02:11:55 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-7 y^{\prime }&=-3 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x$2)-7*diff(y(x),x)=-3,y(x), singsol=all)
 

\[ y = \frac {{\mathrm e}^{7 x} c_1}{7}+\frac {3 x}{7}+c_2 \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 24

DSolve[D[y[x],{x,2}]-7*D[y[x],x]==-3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {3 x}{7}+\frac {1}{7} c_1 e^{7 x}+c_2 \]