Internal problem ID [13808]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{\frac {1}{5}}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([diff(y(t),t)=y(t)^(1/5),y(0) = 0],y(t), singsol=all)
\[ y = 0 \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 24
DSolve[{y'[t]==y[t]^(1/5),{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {4 \sqrt {2} t^{5/4}}{5 \sqrt [4]{5}} \]