Internal problem ID [12936]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.4 page 61
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-{\mathrm e}^{\frac {2}{y}}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.172 (sec). Leaf size: 38
dsolve([diff(y(t),t)=exp(2/y(t)),y(1) = 2],y(t), singsol=all)
\[ y \left (t \right ) = -\frac {2}{\operatorname {RootOf}\left (2 \textit {\_Z} \,\operatorname {expIntegral}_{1}\left (1\right )-2 \textit {\_Z} \,\operatorname {expIntegral}_{1}\left (-\textit {\_Z} \right )-2 \textit {\_Z} \,{\mathrm e}^{-1}-t \textit {\_Z} -2 \,{\mathrm e}^{\textit {\_Z}}+\textit {\_Z} \right )} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[t]==Exp[2/y[t]],{y[1]==2}},y[t],t,IncludeSingularSolutions -> True]
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