76.5.28 problem 29

Internal problem ID [17448]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 2. First order differential equations. Section 2.7 (Substitution Methods). Problems at page 108
Problem number : 29
Date solved : Tuesday, January 28, 2025 at 10:38:36 AM
CAS classification : [_separable]

\begin{align*} \frac {\sqrt {x}\, y^{\prime }}{y}&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(sqrt(x)/y(x)*diff(y(x),x)=1,y(x), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{2 \sqrt {x}} \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 17

DSolve[Sqrt[x]/y[x]*D[y[x],x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{2 \sqrt {x}} \]