Internal problem ID [12269]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 30.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x$3)-7*diff(y(x),x$2)+12*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +{\mathrm e}^{3 x} c_{2} +{\mathrm e}^{4 x} c_{3} \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 30
DSolve[y'''[x]-7*y''[x]+12*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{3} c_1 e^{3 x}+\frac {1}{4} c_2 e^{4 x}+c_3 \]