Internal problem ID [2125]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 18, page 82
Problem number: 9.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x$3)-7*diff(y(x),x$2)+16*diff(y(x),x)-12*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{3} x +c_{2} \right ) {\mathrm e}^{2 x}+c_{1} {\mathrm e}^{3 x} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 24
DSolve[y'''[x]-7*y''[x]+16*y'[x]-12*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{2 x} \left (c_2 x+c_3 e^x+c_1\right ) \]