Internal problem ID [15393]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 15.4 Nonhomogeneous linear equations with
constant coefficients. The Euler equations. Exercises page 143
Problem number: 624.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
\[ \boxed {x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x$3)-3*x*diff(y(x),x$2)+3*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{3} x^{4}+c_{2} x^{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 26
DSolve[x^2*y'''[x]-3*x*y''[x]+3*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 x^4}{4}+\frac {c_1 x^2}{2}+c_3 \]