Internal problem ID [6268]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Problems for Review and Discovery. Page
53
Problem number: 4(d).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }-3 y^{\prime }=5 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(x*diff(y(x),x$2)-3*diff(y(x),x)=5*x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (2 c_{1} x^{2}-5\right )^{2}}{16 c_{1}}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 24
DSolve[x*y''[x]-3*y'[x]==5*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_1 x^4}{4}-\frac {5 x^2}{4}+c_2 \]