Internal problem ID [15391]
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: 622.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {\left (2+x \right )^{2} y^{\prime \prime }+3 \left (2+x \right ) y^{\prime }-3 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((x+2)^2*diff(y(x),x$2)+3*(x+2)*diff(y(x),x)-3*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} +c_{2} \left (x +2\right )^{4}}{\left (x +2\right )^{3}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 20
DSolve[(x+2)^2*y''[x]+3*(x+2)*y'[x]-3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 (x+2)+\frac {c_2}{(x+2)^3} \]