3.10 problem 14

Internal problem ID [525]

Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section: Section 2.4. Page 76
Problem number: 14.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

Solve \begin {gather*} \boxed {y^{\prime }-2 t y^{2}=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 13

dsolve(diff(y(t),t) = 2*t*y(t)^2,y(t), singsol=all)
 

\[ y \relax (t ) = \frac {1}{-t^{2}+c_{1}} \]

Solution by Mathematica

Time used: 0.124 (sec). Leaf size: 20

DSolve[y'[t] == 2*t*y[t]^2,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -\frac {1}{t^2+c_1} \\ y(t)\to 0 \\ \end{align*}