Internal problem ID [13255]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.3 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime } x=-\sqrt {x}+2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)+sqrt(x)=2,y(x), singsol=all)
\[ y \left (x \right ) = 2 \ln \left (x \right )-2 \sqrt {x}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 19
DSolve[x*y'[x]+Sqrt[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 \sqrt {x}+2 \log (x)+c_1 \]