Internal problem ID [13501]
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: 13.5 (e).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x y^{\prime \prime }-y^{\prime }=6 x^{5}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x*diff(y(x),x$2)-diff(y(x),x)=6*x^5,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{4} x^{6}+\frac {1}{2} c_{1} x^{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 24
DSolve[x*y''[x]-y'[x]==6*x^5,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{4} \left (x^6+2 c_1 x^2+4 c_2\right ) \]