Internal problem ID [13070]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 6. Simplifying through simplifiction. Additional exercises. page 114
Problem number: 6.7 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Bernoulli]
\[ \boxed {3 y^{\prime }+\frac {2 y}{x}-4 \sqrt {y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(3*diff(y(x),x)+2/x*y(x)=4*sqrt(y(x)),y(x), singsol=all)
\[ \sqrt {y}-\frac {x}{2}-\frac {c_{1}}{x^{\frac {1}{3}}} = 0 \]
✓ Solution by Mathematica
Time used: 0.158 (sec). Leaf size: 26
DSolve[3*y'[x]+2/x*y[x]==4*Sqrt[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\left (x^{4/3}+2 c_1\right ){}^2}{4 x^{2/3}} \]