74.6.34 problem 35

Internal problem ID [16057]
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 : 35
Date solved : Tuesday, January 28, 2025 at 08:32:06 AM
CAS classification : [_exact]

\begin{align*} {\mathrm e}^{y}-2 t y+\left (t \,{\mathrm e}^{y}-t^{2}\right ) y^{\prime }&=0 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✗ Solution by Maple

dsolve([(exp(y(t))-2*t*y(t))+(t*exp(y(t))-t^2)*diff(y(t),t)=0,y(0) = 0],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{(Exp[y[t]]-2*t*y[t])+(t*Exp[y[t]]-t^2)*D[y[t],t]==0,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

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