1.82 problem 81

Internal problem ID [7126]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 81.
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 (0\right ) = 0] \end {align*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 5

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

\[ y \left (x \right ) = 0 \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 8

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

\[ y(x)\to x^2 \]