73.1.13 problem 2.3 (c)

Internal problem ID [14991]
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)
Date solved : Tuesday, January 28, 2025 at 07:27:08 AM
CAS classification : [_quadrature]

\begin{align*} x y^{\prime }+\sqrt {x}&=2 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(x*diff(y(x),x)+sqrt(x)=2,y(x), singsol=all)
 

\[ y = 2 \ln \left (x \right )-2 \sqrt {x}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.009 (sec). Leaf size: 19

DSolve[x*D[y[x],x]+Sqrt[x]==2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -2 \sqrt {x}+2 \log (x)+c_1 \]