Internal problem ID [14396]
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: 58.
ODE order: 1.
ODE degree: 5.
CAS Maple gives this as type [_dAlembert]
\[ \boxed {y+y^{\prime } t -\frac {{y^{\prime }}^{5}}{5}=0} \]
✓ Solution by Maple
Time used: 0.109 (sec). Leaf size: 32
dsolve(y(t)=-t*diff(y(t),t)+1/5*diff(y(t),t)^5,y(t), singsol=all)
\[ \left [t \left (\textit {\_T} \right ) = \frac {\textit {\_T}^{\frac {9}{2}}+9 c_{1}}{9 \sqrt {\textit {\_T}}}, y \left (\textit {\_T} \right ) = \frac {4 \textit {\_T}^{5}}{45}-\sqrt {\textit {\_T}}\, c_{1}\right ] \]
✓ Solution by Mathematica
Time used: 2.223 (sec). Leaf size: 2076
DSolve[y[t]==-t*y'[t]+1/5*y'[t]^5,y[t],t,IncludeSingularSolutions -> True]
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