Internal problem ID [13836]
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: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-t y^{2}=0} \] With initial conditions \begin {align*} \left [y \left (0\right ) = {\frac {1}{2}}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 13
dsolve([diff(y(t),t)=t*y(t)^2,y(0) = 1/2],y(t), singsol=all)
\[ y = -\frac {2}{t^{2}-4} \]
✓ Solution by Mathematica
Time used: 0.101 (sec). Leaf size: 14
DSolve[{y'[t]==t*y[t]^2,{y[0]==1/2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {2}{t^2-4} \]