1.29 problem 29

Internal problem ID [6592]

Book: First order enumerated odes
Section: section 1
Problem number: 29.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Riccati]

Solve \begin {gather*} \boxed {y^{\prime }-\cos \relax (x )-\frac {y^{2}}{x}=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

DSolve[y'[x]==Cos[x]+y[x]^2/x,y[x],x,IncludeSingularSolutions -> True]
 

Not solved