Internal problem ID [13805]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 25. Review exercises for part III. page 447
Problem number: 7.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {2 x y^{\prime \prime }+y^{\prime }=\sqrt {x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(2*x*diff(y(x),x$2)+diff(y(x),x)=sqrt(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sqrt {x}\, \left (x +6 c_{1} \right )}{3}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 23
DSolve[2*x*y''[x]+y'[x]==Sqrt[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{3} \sqrt {x} (x+6 c_1)+c_2 \]