73.7.5 problem 5

Internal problem ID [15163]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 5
Date solved : Tuesday, January 28, 2025 at 07:38:56 AM
CAS classification : [_quadrature]

\begin{align*} x^{2} y^{\prime }-\sqrt {x}&=3 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 16

dsolve(x^2*diff(y(x),x)-sqrt(x)=3,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 20

DSolve[x^2*D[y[x],x]-Sqrt[x]==3,y[x],x,IncludeSingularSolutions -> True]
 

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