Internal problem ID [14735]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.7, page 195
Problem number: 26.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x^{2} y^{\prime \prime }+y^{\prime } x -16 y=\ln \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(x^2*diff(y(x),x$2)+x*diff(y(x),x)-16*y(x)=ln(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{2}}{x^{4}}+x^{4} c_{1} -\frac {\ln \left (x \right )}{16} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 24
DSolve[x^2*y''[x]+x*y'[x]-16*y[x]==Log[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x^4+\frac {c_1}{x^4}-\frac {\log (x)}{16} \]