Internal problem ID [5359]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 13. Homogeneous Linear equations with constant coefficients. Supplemetary
problems. Page 86
Problem number: 17.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$3)+diff(y(x),x$2)-2*diff(y(x),x)=0,y(x), singsol=all)
\[ y = c_{1} +{\mathrm e}^{-2 x} c_{2} +{\mathrm e}^{x} c_{3} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 25
DSolve[y'''[x]+y''[x]-2*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {1}{2} c_1 e^{-2 x}+c_2 e^x+c_3 \]