Internal problem ID [13473]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 13. Higher order equations: Extending first order concepts. Additional exercises
page 259
Problem number: 13.1 (a).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }+4 y^{\prime }=18 x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x$2)+4*diff(y(x),x)=18*x^2,y(x), singsol=all)
\[ y \left (x \right ) = x^{3}-\frac {c_{1}}{3 x^{3}}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 20
DSolve[x*y''[x]+4*y'[x]==18*x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^3-\frac {c_1}{3 x^3}+c_2 \]