Internal problem ID [5614]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC
OSCILLATORS Page 98
Problem number: 19(a).
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
Solve \begin {gather*} \boxed {x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.004 (sec). Leaf size: 14
dsolve(x^3*diff(y(x),x$3)+3*x^2*diff(y(x),x$2)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1}+\frac {c_{2}}{x}+c_{3} x \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 21
DSolve[x^3*y'''[x]+3*x^2*y''[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{2 x}+c_3 x+c_2 \\ \end{align*}