Internal problem ID [14328]
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: 40.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {y+\left ({\mathrm e}^{y}+t \right ) y^{\prime }=-\frac {2 t}{t^{2}+1}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✗ Solution by Maple
dsolve([(2*t/(1+t^2)+y(t))+(exp(y(t))+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[{(2*t/(1+t^2)+y[t])+(Exp[y[t]]+t)*y'[t]==0,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
{}