57.1.29 problem 29

Internal problem ID [9013]
Book : First order enumerated odes
Section : section 1
Problem number : 29
Date solved : Monday, January 27, 2025 at 05:27:17 PM
CAS classification : [_Riccati]

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

✗ Solution by Maple

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

Not solved