Internal problem ID [13363]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.2 (g).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -3 y=\sqrt {x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)=sqrt(x)+3*y(x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {2 \sqrt {x}}{5}+c_{1} x^{3} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 21
DSolve[x*y'[x]==Sqrt[x]+3*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {2 \sqrt {x}}{5}+c_1 x^3 \]