Internal problem ID [3206]
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]
\[ \boxed {\left (2 x +3\right ) y^{\prime }-y=\sqrt {2 x +3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve((2*x+3)*diff(y(x),x)=y(x)+sqrt(2*x+3),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (\ln \left (3+2 x \right )+2 c_{1} \right ) \sqrt {3+2 x}}{2} \]
✓ 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]
\[ y(x)\to \frac {1}{2} \sqrt {2 x+3} (\log (2 x+3)+2 c_1) \]