Internal problem ID [14371]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number: 28.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _dAlembert]
\[ \boxed {y-\left (3 \sqrt {t y}+t \right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 21
dsolve(y(t)-(3*sqrt(t*y(t))+t)*diff(y(t),t)=0,y(t), singsol=all)
\[ 3 \ln \left (y \left (t \right )\right )-\frac {2 t}{\sqrt {y \left (t \right ) t}}-c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.238 (sec). Leaf size: 33
DSolve[y[t]-(3*Sqrt[t*y[t]]+t)*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [3 \log \left (\frac {y(t)}{t}\right )-\frac {2}{\sqrt {\frac {y(t)}{t}}}=-3 \log (t)+c_1,y(t)\right ] \]