Internal problem ID [13449]
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 (a).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x^{2} y^{\prime \prime }-5 y^{\prime } x +8 y=\frac {5}{x^{3}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(x^2*diff(y(x),x$2)-5*x*diff(y(x),x)+8*y(x)=5/x^3,y(x), singsol=all)
\[ y = c_{2} x^{4}+c_{1} x^{2}+\frac {1}{7 x^{3}} \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 25
DSolve[x^2*y''[x]-5*x*y'[x]+8*y[x]==5/x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x^4+\frac {1}{7 x^3}+c_1 x^2 \]