Internal problem ID [13655]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 20. Euler equations. Additional exercises page 382
Problem number: 20.1 (m).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _exact, _linear, _homogeneous]]
\[ \boxed {2 x^{2} y^{\prime \prime }+5 y^{\prime } x +y=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve(2*x^2*diff(y(x),x$2)+5*x*diff(y(x),x)+y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1}}{\sqrt {x}}+\frac {c_{2}}{x} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 20
DSolve[2*x^2*y''[x]+5*x*y'[x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 \sqrt {x}+c_1}{x} \]