Internal problem ID [14327]
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: 39.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact, _rational, _Bernoulli]
\[ \boxed {-y^{2}-2 t y y^{\prime }=-\frac {1}{t^{2}+1}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✗ Solution by Maple
dsolve([(1/(1+t^2)-y(t)^2)-(2*t*y(t))*diff(y(t),t)=0,y(0) = 0],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{(1/(1+t^2)-y[t]^2)-(2*t*y[t])*y'[t]==0,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
Not solved