80.8.3 problem 3

Internal problem ID [18582]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Section : Chapter VII. Linear equations of order higher than the first. section 56. Problems at page 163
Problem number : 3
Date solved : Tuesday, January 28, 2025 at 12:02:55 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+12 y&=7 y^{\prime } \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(diff(y(x),x$2)+12*y(x)=7*diff(y(x),x),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 20

DSolve[D[y[x],{x,2}]+12*y[x]==7*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{3 x} \left (c_2 e^x+c_1\right ) \]