73.14.11 problem 21.13 (a)

Internal problem ID [15421]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 21. Nonhomogeneous equations in general. Additional exercises page 391
Problem number : 21.13 (a)
Date solved : Tuesday, January 28, 2025 at 07:55:09 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }-3 y^{\prime }-10 y&={\mathrm e}^{4 x} \end{align*}

✓ Solution by Maple

Time used: 0.008 (sec). Leaf size: 25

dsolve(diff(y(x),x$2)-3*diff(y(x),x)-10*y(x)=exp(4*x),y(x), singsol=all)
 

\[ y = -\frac {\left (-6 \,{\mathrm e}^{7 x} c_{2} +{\mathrm e}^{6 x}-6 c_{1} \right ) {\mathrm e}^{-2 x}}{6} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 31

DSolve[D[y[x],{x,2}]-3*D[y[x],x]-10*y[x]==Exp[4*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {e^{4 x}}{6}+c_1 e^{-2 x}+c_2 e^{5 x} \]