Internal problem ID [958]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Riccati]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {x^{2}+y^{2}}{\sin \relax (x )}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==(x^2+y[x]^2)/Sin[x],y[x],x,IncludeSingularSolutions -> True]
Not solved