12.4.1 problem 1

Internal problem ID [1608]
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 : 1
Date solved : Tuesday, January 21, 2025 at 08:01:18 PM
CAS classification : [_Riccati]

\begin{align*} y^{\prime }&=\frac {x^{2}+y^{2}}{\sin \left (x \right )} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)=(x^2+y(x)^2)/sin(x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]==(x^2+y[x]^2)/Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved