Internal problem ID [2697]
Book: Differential equations for engineers by Wei-Chau XIE, Cambridge Press 2010
Section: Chapter 2. First-Order and Simple Higher-Order Differential Equations. Page
78
Problem number: 62.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (2 x +3\right ) y^{\prime }-y-\sqrt {2 x +3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 22
dsolve((2*x+3)*diff(y(x),x)=y(x)+sqrt(2*x+3),y(x), singsol=all)
\[ y \relax (x ) = \left (\frac {\ln \left (2 x +3\right )}{2}+c_{1}\right ) \sqrt {2 x +3} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 29
DSolve[(2*x+3)*y'[x]==y[x]+Sqrt[2*x+3],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{2} \sqrt {2 x+3} (\log (2 x+3)+2 c_1) \\ \end{align*}