Internal problem ID [11882]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 4, Section 4.5. The Cauchy-Euler Equation. Exercises page 169
Problem number: 28.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _exact, _linear, _homogeneous]]
\[ \boxed {\left (x +2\right )^{2} y^{\prime \prime }-\left (x +2\right ) y^{\prime }-3 y=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 19
dsolve((x+2)^2*diff(y(x),x$2)-(x+2)*diff(y(x),x)-3*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} +c_{2} \left (x +2\right )^{4}}{x +2} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 22
DSolve[(x+2)^2*y''[x]-(x+2)*y'[x]-3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 (x+2)^3+\frac {c_2}{x+2} \]