2.11 problem 3.6

Internal problem ID [12978]

Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section: Chapter 3. Some basics about First order equations. Additional exercises. page 63
Problem number: 3.6.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-2 \sqrt {y}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 5

dsolve([diff(y(x),x)=2*sqrt(y(x)),y(1) = 0],y(x), singsol=all)
 

\[ y = 0 \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 6

DSolve[{y'[x]==2*Sqrt[y[x]],{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 0 \]