Internal problem ID [14113]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Review exercises, page
23
Problem number: 13.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-7 y^{\prime }+12 y=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x$2)-7*diff(y(x),x)+12*y(x)=2,y(x), singsol=all)
\[ y \left (x \right ) = c_{2} {\mathrm e}^{4 x}+c_{1} {\mathrm e}^{3 x}+\frac {1}{6} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 25
DSolve[y''[x]-7*y'[x]+12*y[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{3 x}+c_2 e^{4 x}+\frac {1}{6} \]