Internal problem ID [13450]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 22. Method of undetermined coefficients. Additional exercises page
412
Problem number: 22.15 (b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {2 x^{2} y^{\prime \prime }-y^{\prime } x +y=\frac {50}{x^{3}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(2*x^2*diff(y(x),x$2)-x*diff(y(x),x)+y(x)=50/x^3,y(x), singsol=all)
\[ y = c_{2} \sqrt {x}+c_{1} x +\frac {25}{14 x^{3}} \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 25
DSolve[2*x^2*y''[x]-x*y'[x]+y[x]==50/x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {25}{14 x^3}+c_1 \sqrt {x}+c_2 x \]