Internal problem ID [14323]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {{\mathrm e}^{y}-2 t y+\left (t \,{\mathrm e}^{y}-t^{2}\right ) y^{\prime }=0} \] 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: 0.0 (sec). Leaf size: 0
DSolve[{(Exp[y[t]]-2*t*y[t])+(t*Exp[y[t]]-t^2)*y'[t]==0,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
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