73.4.17 problem 5.2 (g)

Internal problem ID [15099]
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)
Date solved : Tuesday, January 28, 2025 at 07:30:41 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }&=\sqrt {x}+3 y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(x*diff(y(x),x)=sqrt(x)+3*y(x),y(x), singsol=all)
 

\[ y = -\frac {2 \sqrt {x}}{5}+c_{1} x^{3} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 21

DSolve[x*D[y[x],x]==Sqrt[x]+3*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {2 \sqrt {x}}{5}+c_1 x^3 \]