Internal problem ID [15395]
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: 626.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
\[ \boxed {\left (x +1\right )^{2} y^{\prime \prime \prime }-12 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve((x+1)^2*diff(y(x),x$3)-12*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +\frac {c_{2}}{\left (1+x \right )^{2}}+c_{3} \left (1+x \right )^{5} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 30
DSolve[(x+1)^2*y'''[x]-12*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{5} c_1 (x+1)^5-\frac {c_2}{2 (x+1)^2}+c_3 \]