Internal problem ID [11378]
Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag,
NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.3.1 Separable equations. Exercises
page 26
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }-\sqrt {x}=0} \] With initial conditions \begin {align*} [x \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 11
dsolve([diff(x(t),t)=sqrt(x(t)),x(0) = 1],x(t), singsol=all)
\[ x \left (t \right ) = \frac {\left (t +2\right )^{2}}{4} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 16
DSolve[{x'[t]==Sqrt[t],{x[0]==1}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \frac {2 t^{3/2}}{3}+1 \]