29.3.8 problem 62

Internal problem ID [4670]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 3
Problem number : 62
Date solved : Monday, January 27, 2025 at 09:30:54 AM
CAS classification : [_Riccati]

\begin{align*} y^{\prime }&=f \left (x \right )+g \left (x \right ) y+a y^{2} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x) = f(x)+g(x)*y(x)+a*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]==f[x]+g[x] y[x]+a y[x]^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved