1.56 problem 56

Internal problem ID [7637]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 56.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [NONE]

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

Solution by Maple

dsolve(diff(y(x),x) - f(x)*y(x)^a - g(x)*y(x)^b=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[y'[x] - f[x]*y[x]^a - g[x]*y[x]^b==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved