3.6 problem 60

Internal problem ID [2815]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 3
Problem number: 60.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Riccati]

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

Solution by Maple

dsolve(diff(y(x),x) = f(x)+a*y(x)+b*y(x)^2,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y'[x]==f[x]+a y[x]+b y[x]^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved