Internal problem ID [2110]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 17, page 78
Problem number: 38.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x$3)-5*diff(y(x),x$2)-2*diff(y(x),x)+24*y(x)=0,y(x), singsol=all)
\[ y = {\mathrm e}^{-2 x} c_{1} +c_{2} {\mathrm e}^{4 x}+c_{3} {\mathrm e}^{3 x} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 29
DSolve[y'''[x]-5*y''[x]-2*y'[x]+24*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-2 x} \left (e^{5 x} \left (c_3 e^x+c_2\right )+c_1\right ) \]