Internal problem ID [12948]
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: 2.4 (d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime } x=\sqrt {x}-2} \] With initial conditions \begin {align*} [y \left (1\right ) = 6] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([x*diff(y(x),x)+2=sqrt(x),y(1) = 6],y(x), singsol=all)
\[ y = 2 \sqrt {x}-2 \ln \left (x \right )+4 \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 18
DSolve[{x*y'[x]+2==Sqrt[x],{y[1]==6}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 \left (\sqrt {x}-\log (x)+2\right ) \]