Internal problem ID [1944]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (g).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {t}{\sqrt {t}+1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 27
dsolve(diff(y(t),t)=t/(sqrt(t)+1),y(t), singsol=all)
\[ y \relax (t ) = \frac {2 t^{\frac {3}{2}}}{3}-t +2 \sqrt {t}-2 \ln \left (\sqrt {t}+1\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 25
DSolve[y'[t]==1/(1+Sqrt[t]),y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 2 \sqrt {t}-2 \log \left (\sqrt {t}+1\right )+c_1 \\ \end{align*}