Internal problem ID [13427]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{2} y^{\prime }=\sqrt {x}+3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x)-sqrt(x)=3,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {3}{x}-\frac {2}{\sqrt {x}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 20
DSolve[x^2*y'[x]-Sqrt[x]==3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {2}{\sqrt {x}}-\frac {3}{x}+c_1 \]