Internal problem ID [2019]
Book: Mathematical methods for physics and engineering, Riley, Hobson, Bence, second edition,
2002
Section: Chapter 15, Higher order ordinary differential equations. 15.4 Exercises, page
523
Problem number: Problem 15.34.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_y]]
Solve \begin {gather*} \boxed {x y^{\prime \prime \prime }+2 y^{\prime \prime }-A x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 20
dsolve(x*diff(y(x),x$3)+2*diff(y(x),x$2)=A*x,y(x), singsol=all)
\[ y \relax (x ) = \frac {A \,x^{3}}{18}-\ln \relax (x ) c_{1}+c_{2} x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.053 (sec). Leaf size: 26
DSolve[x*y'''[x]+2*y''[x]==A*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {A x^3}{18}+c_3 x-c_1 \log (x)+c_2 \\ \end{align*}