Internal problem ID [14883]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 62.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x^{2} y^{\prime \prime }-7 y^{\prime } x +15 y=8 x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x$2)-7*x*diff(y(x),x)+15*y(x)=8*x,y(x), singsol=all)
\[ y \left (x \right ) = c_{2} x^{5}+c_{1} x^{3}+x \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 19
DSolve[x^2*y''[x]-7*x*y'[x]+15*y[x]==8*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x^5+c_1 x^3+x \]