3.21 problem 75

Internal problem ID [3339]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 3
Problem number: 75.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Riccati]

\[ \boxed {y^{\prime }-g \left (x \right ) y-h \left (x \right ) y^{2}=f \left (x \right )} \]

Solution by Maple

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

Not solved