44.4.8 problem 2 (d)

Internal problem ID [7021]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.1 Solution curves without a solution. Exercises 2.1 at page 44
Problem number : 2 (d)
Date solved : Monday, January 27, 2025 at 02:41:11 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \end{align*}

With initial conditions

\begin{align*} y \left (8\right )&=-4 \end{align*}

✗ Solution by Maple

dsolve([diff(y(x),x)=exp(-1/100*x*y(x)^2),y(8) = -4],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{D[y[x],x]==Exp[-1/100*x*y[x]^2],{y[8]==-4}},y[x],x,IncludeSingularSolutions -> True]
 

Not solved