12.4.2 problem 2

Internal problem ID [1609]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 2, First order equations. Existence and Uniqueness of Solutions of Nonlinear Equations. Section 2.3 Page 60
Problem number : 2
Date solved : Monday, January 27, 2025 at 05:13:50 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

dsolve(diff(y(x),x)=(exp(x)+y(x))/(x^2+y(x)^2),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[x]+y[x])/(x^2+y[x]^2),y[x],x,IncludeSingularSolutions -> True]
 

Not solved