Internal problem ID [2103]
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: 31.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x$3)-4*diff(y(x),x$2)-17*diff(y(x),x)+60*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{2} {\mathrm e}^{9 x}+c_{1} {\mathrm e}^{7 x}+c_{3} \right ) {\mathrm e}^{-4 x} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 30
DSolve[y'''[x]-4*y''[x]-17*y'[x]+60*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-4 x} \left (c_2 e^{7 x}+c_3 e^{9 x}+c_1\right ) \]