Internal problem ID [14203]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 45.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {\sqrt {t}}{y}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 15
dsolve([diff(y(t),t)=sqrt(t)/y(t),y(0) = 2],y(t), singsol=all)
\[ y \left (t \right ) = \frac {2 \sqrt {9+3 t^{\frac {3}{2}}}}{3} \]
✓ Solution by Mathematica
Time used: 1.687 (sec). Leaf size: 23
DSolve[{y'[t]==Sqrt[t]/y[t],{y[0]==2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {2 \sqrt {t^{3/2}+3}}{\sqrt {3}} \]