Internal problem ID [2068]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 38.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Bernoulli]
\[ \boxed {y^{\prime } x -5 y-x \sqrt {y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x*diff(y(x),x)-(5*y(x)+x*sqrt(y(x)))=0,y(x), singsol=all)
\[ \sqrt {y}+\frac {x}{3}-x^{\frac {5}{2}} c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.153 (sec). Leaf size: 25
DSolve[x*y'[x]-(5*y[x]+x*Sqrt[y[x]])==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{9} x^2 \left (1-3 c_1 x^{3/2}\right ){}^2 \]