Internal problem ID [14319]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 31.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {2 t y^{2}+2 y^{\prime } y t^{2}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 7
dsolve([(2*t*y(t)^2)+(2*t^2*y(t))*diff(y(t),t)=0,y(1) = 1],y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{t} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 8
DSolve[{(2*t*y[t]^2)+(2*t^2*y[t])*y'[t]==0,{y[1]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{t} \]