Internal problem ID [13811]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-y \sqrt {t}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve([diff(y(t),t)=y(t)*sqrt(t),y(1) = 1],y(t), singsol=all)
\[ y = {\mathrm e}^{\frac {2 \left (\sqrt {t}-1\right ) \left (t +\sqrt {t}+1\right )}{3}} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 18
DSolve[{y'[t]==y[t]*Sqrt[t],{y[1]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{\frac {2}{3} \left (t^{3/2}-1\right )} \]